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Endoscopic Ruler for varix size measurement:A multicenter pilot study
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作者 Yi-Fei Huang Sheng-Juan Hu +29 位作者 Yang Bu Yi-Ling Li Yan-Hong Deng Jian-Ping Hu Shao-Qi Yang Qian Shen Mark McAlindon Rui-Chun Shi Xiao-Qin Li Tie-Ying Song Hai-Long Qi Tai-Wei Jiao Meng-Yuan liu Fang He Jun Zhu Bin Ma Xiao-Bin Yu Jian-Yang Guo Yue-Hua Yu Hai-Jiang Yong Wen-Tun Yao Ting Ye Hua Wang Wen-Fu Dong jian-guo liu Qiang Wei Jing Tian Xiao-Guo Li Xavier Dray Xiao-Long Qi 《World Journal of Gastrointestinal Endoscopy》 2023年第9期564-573,共10页
BACKGROUND We invented Endoscopic Ruler,a new endoscopic device to measure the size of varices in patients with cirrhosis and portal hypertension.AIM To assess the feasibility and safety of Endoscopic Ruler,and evalua... BACKGROUND We invented Endoscopic Ruler,a new endoscopic device to measure the size of varices in patients with cirrhosis and portal hypertension.AIM To assess the feasibility and safety of Endoscopic Ruler,and evaluate the agreement on identifying large oesophageal varices(OV)between Endoscopic Ruler and the endoscopists,as well as the interobserver agreement on diagnosing large OV using Endoscopic Ruler.METHODS We prospectively and consecutively enrolled patients with cirrhosis from 11 hospitals,all of whom got esophagogastroduodenoscopy(EGD)with Endoscopic Ruler.The primary study outcome was a successful measurement of the size of varices using Endoscopic Ruler.The secondary outcomes included adverse events,operation time,the agreement of identifying large OV between the objective measurement of Endoscopic Ruler and the empirical reading of endoscopists,together with the interobserver agreement on diagnosing large OV by Endoscopic Ruler.RESULTS From November 2020 to April 2022,a total of 120 eligible patients with cirrhosis were recruited and all of them underwent EGD examinations with Endoscopic Ruler successfully without any adverse event.The median operation time of Endoscopic Ruler was 3.00 min[interquartile range(IQR):3.00 min].The kappa value between Endoscopic Ruler and the endoscopists while detecting large OV was 0.52,demonstrating a moderate agreement.The kappa value for diagnosing large OV using Endoscopic Ruler among the six independent observers was 0.77,demonstrating a substantial agreement.CONCLUSION The data demonstrates that Endoscopic Ruler is feasible and safe for measuring the size of varices in patients with cirrhosis and portal hypertension.Endoscopic Ruler is potential to promote the clinical practice of the two-grade classification system of OV. 展开更多
关键词 Oesophageal varices CIRRHOSIS Portal hypertension ESOPHAGOGASTRODUODENOSCOPY Endoscopic ruler
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准分子激光原位角膜磨镶术后角膜表面像差的变化 被引量:1
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作者 魏升升 李晶 +3 位作者 刘建国 万雅群 李勇 杜婧 《中国现代医学杂志》 CAS 2019年第14期118-121,共4页
目的评估激光原位角膜磨镶术(Lasik)术后近远期、正常角膜前后表面及全角膜像差的变化。方法选取1995年1月—2008年12月于西安市第四医院准分子激光中心行Lasik手术的113例患者作为远期组,另选取2016年4月—2016年5月于西安市第四医院... 目的评估激光原位角膜磨镶术(Lasik)术后近远期、正常角膜前后表面及全角膜像差的变化。方法选取1995年1月—2008年12月于西安市第四医院准分子激光中心行Lasik手术的113例患者作为远期组,另选取2016年4月—2016年5月于西安市第四医院做视力检查的正常近视眼患者63例作为对照组,对照组行飞秒激光制瓣Lasik后的患者作为近期组。测量各组角膜前后表面及全角膜像差,对比术后近远期及未手术者前后表面和全角膜像差的变化。结果远期组角膜前表面和全角膜球差、彗差、三叶草及总高阶像差大于正常组和近期组(P<0.05),远期组角膜后表面彗差、三叶草及总高阶像差大于正常组和近期组(P<0.05)。结论Lasik术后角膜前表面及全角膜像差较正常角膜高,并且术后远期角膜像差高于术后早期。术后像差的增加与角膜瓣的制作、基质床的切削、激光参数及术后伤口愈合等有关。 展开更多
关键词 角膜磨镶术 激光原位 角膜波前像差 角膜
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Micromorphology and physicochemical properties of hydrophobic blasting dust in iron mines 被引量:6
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作者 jian-guo liu Long-zhe Jin +3 位作者 Jia-ying Wang Sheng-nan Ou Jing-zhong Guo Tian-yang Wang 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2019年第6期665-672,共8页
The micromorphology and physicochemical properties of hydrophobic blasting dust(HBD)from an iron mine were comprehensively analyzed by laser particle size analysis(LPSA),scanning electron microscopy(SEM),X-ray diffrac... The micromorphology and physicochemical properties of hydrophobic blasting dust(HBD)from an iron mine were comprehensively analyzed by laser particle size analysis(LPSA),scanning electron microscopy(SEM),X-ray diffraction(XRD),and X-ray photoelectron spectroscopy(XPS).The results show that the HBD particles can be classified into three types based on their particle size(PS):larger particles(PS>10μm),medium particles(1μm≤PS≤10μm),and nanoparticles(PS<1μm).The cumulative volume of respirable dust(PS≤10μm)was 84.45%.In addition,three shapes of HBD were observed by SEM:prism,flake,and bulk.In particular,the small particles were mostly flaky,with a greater possibility of being inhaled.Furthermore,the body and surface chemical compounds of HBD were determined by XRD and XPS,respectively.Ammonium adipate(C6H16N2O4)was the only organic compound in the body of HBD,but its mass fraction was only 13.4%.However,the content of organic C on the surface of HBD was 85.35%.This study demonstrated that the small-particle size and large amount of organic matter on the surface of HBD are the main reasons for its hydrophobicity,which can provide important guidance for controlling respirable dust in iron mines. 展开更多
关键词 iron MINE DUST respirable DUST HYDROPHOBIC BLASTING DUST microstructure PHYSICOCHEMICAL properties particle size
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Co-influencing mechanisms of physicochemical properties of blasting dust in iron mines on its wettability 被引量:4
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作者 jian-guo liu Long-zhe Jin +2 位作者 Jia-ying Wang Sheng-nan Ou Tian-yang Wang 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2019年第9期1080-1091,共12页
This study explores the key physicochemical factors affecting the hydrophilic characteristics of iron mine blasting dust(BD). The BD is separated into an unwetted part(UWBD, hydrophobic part) and a wetted part(WBD, hy... This study explores the key physicochemical factors affecting the hydrophilic characteristics of iron mine blasting dust(BD). The BD is separated into an unwetted part(UWBD, hydrophobic part) and a wetted part(WBD, hydrophilic part). Its particle size, true density(TD), pore parameters, mineral composition, and surface compounds are comprehensively characterized and compared. The results indicate that a smaller particle size and more developed pore parameters are two key factors responsible for the strong hydrophobicity of the BD. The mineral composition of the BD has no direct effect on its wetting properties;however, it indirectly influences the deposition characteristics of the BD in water by affecting its TD. Unlike coal dust, the surface organic composition of the BD does not affect its wettability and the peak area of C–C/C–H hydrophobic groups in the C 1s X-ray photoelectron spectrum of the UWBD(45.03%) is smaller than that in the C 1s spectrum of the WBD(68.30%). Thus, eleven co-influencing processes of physicochemical properties of the BD on its wettability are summarized. This research sheds light on the key factors affecting the wettability of the BD. 展开更多
关键词 BLASTING DUST PHYSICOCHEMICAL characteristics HYDROPHILIC contact angle iron MINE
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跨上皮角膜胶原交联手术治疗进展期圆锥角膜的疗效 被引量:5
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作者 魏升升 李勇 +5 位作者 刘建国 张耀花 蔡艳 杜婧 万雅群 李晶 《国际眼科杂志》 CAS 北大核心 2021年第4期675-679,共5页
目的:分析跨上皮角膜胶原交联手术治疗进展期圆锥角膜后1a的疗效并讨论其临床意义。方法:收集2017-01/2018-12于我院进行快速跨上皮角膜胶原交联手术的进展期圆锥角膜患者45例48眼,术后随访1a,分析手术前后视力、角膜最薄点厚度、角膜... 目的:分析跨上皮角膜胶原交联手术治疗进展期圆锥角膜后1a的疗效并讨论其临床意义。方法:收集2017-01/2018-12于我院进行快速跨上皮角膜胶原交联手术的进展期圆锥角膜患者45例48眼,术后随访1a,分析手术前后视力、角膜最薄点厚度、角膜内皮细胞计数、角膜交联线深度、角膜前表面曲率Km值及角膜生物力学参数等变化情况。结果:与术前比较,本组患者术后裸眼视力明显改善(P<0.05),但最佳矫正视力、角膜最薄点厚度和角膜内皮细胞计数均无明显变化(P>0.05),术后6mo,1a角膜前表面曲率Km值(48.54±2.57、48.77±2.29D)均显著下降,角膜生物力学参数第1次压平宽度(1.52±0.21、1.57±0.22mm)均显著降低(P<0.05),第2次压平速度绝对值(0.82±0.09、0.82±0.18m/s)均显著增加(P<0.05)。结论:快速跨上皮角膜胶原交联手术治疗进展期圆锥角膜对裸眼视力有明显改善,术后角膜生物力学也有改善,但最佳矫正视力改善不明显。 展开更多
关键词 圆锥角膜 胶原交联手术 裸眼视力 最佳矫正视力 角膜生物力学
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Highly-sensitive NO,NO2,and NH3 measurements with an open-multipass cell based on mid-infrared wavelength modulation spectroscopy 被引量:4
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作者 陈祥 杨晨光 +9 位作者 胡迈 沈建康 牛二超 许振宇 范雪丽 姚路 何亚柏 刘建国 阚瑞峰 魏敏 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第4期250-257,共8页
A compact prototype based on mid-infrared wavelength modulation spectroscopy(WMS)is developed for the simul-taneous monitoring of NO,NO2,and NH3 in the urban area.Three quantum cascade lasers(QCLs)with central fre... A compact prototype based on mid-infrared wavelength modulation spectroscopy(WMS)is developed for the simul-taneous monitoring of NO,NO2,and NH3 in the urban area.Three quantum cascade lasers(QCLs)with central frequencies around 1900.0 cm^-1,1600.0 cm^-1,and 1103.4 cm^-1are used for NO,NO2,and NH3detections,respectively,by timedivision multiplex.An open-path multi-pass cell of 60-m optical path length is applied to the instrument for high sensitivity and reducing the response time to less than 1 s.The prototype achieves a sub-ppb detection limit for all the three target gases with an average time of about 100 s.The instrument is installed in the Jiangsu environmental monitoring center to conduct performance tests on ambient air.Continuous 24-hour measurements show good agreement with the results of a reference instrument based on the chemiluminescence technique. 展开更多
关键词 wavelength modulation spectroscopy optical sensing atmospheric monitoring time division multiplexing quantum cascade laser mid-infrared laser spectroscopy
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A review on chemical oxygen supply technology within confined spaces: Challenges, strategies, and opportunities toward chemical oxygen generators(COGs)
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作者 jian-guo liu Long-zhe Jin +3 位作者 Na Gao Sheng-nan Ou Shu Wang Wei-xiang Wang 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2019年第8期925-937,共13页
Chemical oxygen generators(COGs)have been used worldwide in confined spaces as an emergency oxygen supply technology,mainly because they are independent and have a long shelf life.However,a number of challenges relate... Chemical oxygen generators(COGs)have been used worldwide in confined spaces as an emergency oxygen supply technology,mainly because they are independent and have a long shelf life.However,a number of challenges related to COGs remain unsolved,and a literature review of the current state of the technology is needed.First,the present article summarizes the basic information and applications of COGs,including their oxygen production mechanism,components,forming technology,and ignition system.Four current challenges encountered in applying COGs are discussed,along with the strategies adopted thus far to solve these problems,as found in the published literature.The literature survey reveals that,although much effort has been devoted to controlling the oxygen production rate and the heat output of COGs,the mechanism of producing toxic gases remains unclear and a reliable and safe ignition system has not been fully developed.Finally,future opportunities in the development of COGs are briefly listed. 展开更多
关键词 CHEMICAL OXYGEN generators OXYGEN supply TECHNOLOGY thermal decomposition CATALYTIC metal fuel COMBUSTION
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Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold:Ergodicity,Unconditional Stability and Convergence
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作者 Yuan Gao jian-guo liu 《Communications in Computational Physics》 SCIE 2023年第6期132-172,共41页
Irreversible drift-diffusion processes are very common in biochemical reactions.They have a non-equilibrium stationary state(invariant measure)which does not satisfy detailed balance.For the corresponding Fokker-Planc... Irreversible drift-diffusion processes are very common in biochemical reactions.They have a non-equilibrium stationary state(invariant measure)which does not satisfy detailed balance.For the corresponding Fokker-Planck equation on a closed manifold,using Voronoi tessellation,we propose two upwind finite volume schemes with or without the information of the invariant measure.Both schemes possess stochastic Q-matrix structures and can be decomposed as a gradient flow part and a Hamiltonian flow part,enabling us to prove unconditional stability,ergodicity and error estimates.Based on the two upwind schemes,several numerical examples–including sampling accelerated by a mixture flow,image transformations and simulations for stochastic model of chaotic system–are conducted.These two structurepreserving schemes also give a natural random walk approximation for a generic irreversible drift-diffusion process on a manifold.This makes them suitable for adapting to manifold-related computations that arise from high-dimensional molecular dynamics simulations. 展开更多
关键词 Symmetric decomposition non-equilibrium thermodynamics enhancement by mixture exponential ergodicity structure-preserving numerical scheme
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Efficacy and Safety of Zhuanggu Joint Capsules in Combination with Celecoxib in Knee Osteoarthritis: A Multi-center, Randomized, Double-blind, Double-dummy, and Parallel Controlled Trial 被引量:14
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作者 Xian-Long Zhang Jing Yang +6 位作者 liu Yang jian-guo liu Xin-Yu Cai Wei-Ming Fan Xue-Qing Yun Jin-Zhong Ma Xi-Sheng Weng 《Chinese Medical Journal》 SCIE CAS CSCD 2016年第8期891-897,共7页
Background:Knee osteoarthritis (KOA) is a chronic joint disease that manifests as knee pain as well as different degrees of lower limb swelling,stiffness,and movement disorders.The therapeutic goal is to alleviate ... Background:Knee osteoarthritis (KOA) is a chronic joint disease that manifests as knee pain as well as different degrees of lower limb swelling,stiffness,and movement disorders.The therapeutic goal is to alleviate or eliminate pain,correct deformities,improve or restore joint functions,and improve the quality of life.This study aimed to evaluate the efficacy and safety of Zhuanggu joint capsules combined with celecoxib and the benefit of treatment with Zhuanggu alone for KOA.Methods:This multi-center,randomized,double-blind,double-dummy,parallel controlled trial,started from December 2011 to May 2014,was carried out in 6 cities,including Beijing,Shanghai,Chongqing,Changchun,Chengdu,and Nanjing.A total of 432 patients with KOA were divided into three groups (144 cases in each group).The groups were treated,respectively,with Zhuanggu joint capsules combined with celecoxib capsule simulants,Zhuanggu joint capsules combined with celecoxib capsules,and celecoxib capsules combined with Zhuanggu joint capsule simulants for 4 weeks consecutively.The improvement of Western Ontario and McMaster Universities Osteoarthritis (WOMAC) index and the decreased rates in each dimension of WOMAC were evaluated before and after the treatment.Intergroup and intragroup comparisons of quantitative indices were performed.Statistically significant differences were evaluated with pairwise comparisons using Chi-square test (or Fisher&#39;s exact test) and an inspection level ofα =0.0167.Results:Four weeks after treatment,the total efficacies of Zhuanggu group,combination group,and celecoxib group were 65%,80%,and 64%,respectively,with statistically significant differences among the three groups (P =0.005).Intergroup pairwise comparisons showed that the total efficacy of the combination group was significantly higher than that of the Zhuanggu (P =0.005) and celecoxib (P =0.003)groups.The difference between the latter two groups was not statistically significant (P 〉 0.0167).Four weeks after discontinuation,the efficacies of the three groups were 78%,95%,and 65%,respectively,with statistically significant differences (P 〈 0.0001).Intergroup pairwise comparisons revealed that the efficacy of the combination group was significantly better than that of the Zhuanggu and the celecoxib groups (P 〈 0.0001).The difference between the latter two groups was not statistically significant (P 〉 0.0167).The incidences of adverse events in Zhuanggu group,combination group,and celecoxib group were 8.5%,8.5%,and 11.1%,respectively,with insignificant differences (P 〉 0.05).Conclusions:Zhuanggu joint capsules alone or combined with celecoxib showed clinical efficacy in the treatment of KOA.The safety of Zhuanggu joint capsules alone or combined with celecoxib was acceptable. 展开更多
关键词 CELECOXIB Drug Combination Knee Osteoarthritis Zhuanggu Joint Capsule
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An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations 被引量:2
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作者 Jeffrey Haack Shi Jin jian-guo liu 《Communications in Computational Physics》 SCIE 2012年第9期955-980,共26页
The computation of compressible flows becomesmore challengingwhen the Mach number has different orders of magnitude.When the Mach number is of order one,modern shock capturing methods are able to capture shocks and ot... The computation of compressible flows becomesmore challengingwhen the Mach number has different orders of magnitude.When the Mach number is of order one,modern shock capturing methods are able to capture shocks and other complex structures with high numerical resolutions.However,if theMach number is small,the acoustic waves lead to stiffness in time and excessively large numerical viscosity,thus demanding much smaller time step and mesh size than normally needed for incompressible flow simulation.In this paper,we develop an all-speed asymptotic preserving(AP)numerical scheme for the compressible isentropic Euler and Navier-Stokes equations that is uniformly stable and accurate for all Mach numbers.Our idea is to split the system into two parts:one involves a slow,nonlinear and conservative hyperbolic system adequate for the use of modern shock capturing methods and the other a linear hyperbolic system which contains the stiff acoustic dynamics,to be solved implicitly.This implicit part is reformulated into a standard pressure Poisson projection system and thus possesses sufficient structure for efficient fast Fourier transform solution techniques.In the zero Mach number limit,the scheme automatically becomes a projection method-like incompressible solver.We present numerical results in one and two dimensions in both compressible and incompressible regimes. 展开更多
关键词 Low Mach number limit asymptotic preserving schemes incompressible limit projection scheme isentropic Euler equation
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Entity perception of Two-Step-Matching framework for public opinions 被引量:1
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作者 Ren-De Li Hao-Tian Ma +2 位作者 Zi-Yi Wang Qiang Guo jian-guo liu 《Journal of Safety Science and Resilience》 2020年第1期36-43,共8页
Entity perception of ambiguous user comments is a critical problem of target identification for huge amount of public opinions.In this paper,a Two-Step-Matching method is proposed to identify the precise target entity... Entity perception of ambiguous user comments is a critical problem of target identification for huge amount of public opinions.In this paper,a Two-Step-Matching method is proposed to identify the precise target entity from multiple entities mentioned.Firstly,potential entities are extracted by BiLSTM-CRF model and characteristic words by TF-IDF model from public comments.Secondly,the first matching is implemented between potential entities and an official business directory by Jaro-Winkler distance algorithm.Then,in order to find the pre-cise one,an industry-characteristic dictionary is developed into the second matching process.The precise entity is identified according to the count of characteristic words matching to industry-characteristic dictionary.In addition,associated rate(global indicator)and accuracy rate(sample indicator)are defined for evaluation of matching accuracy.The results for three data sets of public opinions about major public health events show that the highest associated rate and accuracy rate arrive at 0.93 and 0.95,averagely enhanced by 32%and 30%above the case of using the first matching process alone.This framework provides the method to find the true target entity of really wanted expression from public opinions. 展开更多
关键词 Entity perception BiLSTM-CRF model Jaro-Winkler distance algorithm User comments Public opinions
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Interaction Solutions for Kadomtsev-Petviashvili Equation with Variable Coefficients
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作者 刘建国 朱文慧 周丽 《Communications in Theoretical Physics》 SCIE CAS CSCD 2019年第7期793-797,共5页
Based on the Hirota’s bilinear form and symbolic computation,the Kadomtsev-Petviashvili equation with variable coefficients is investigated.The lump solutions and interaction solutions between lump solution and a pai... Based on the Hirota’s bilinear form and symbolic computation,the Kadomtsev-Petviashvili equation with variable coefficients is investigated.The lump solutions and interaction solutions between lump solution and a pair of resonance stripe solitons are presented.Their dynamical behaviors are described by some three-dimensional plots and corresponding contour plots. 展开更多
关键词 Hirota's BILINEAR form DYNAMICAL behaviors STRIPE SOLITONS
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On Local Singularities in Ideal Potential Flows with Free Surface
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作者 jian-guo liu Robert L.PEGO 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2019年第6期925-948,共24页
Despite important advances in the mathematical analysis of the Euler equations for water waves,especially over the last two decades,it is not yet known whether local singularities can develop from smooth data in well-... Despite important advances in the mathematical analysis of the Euler equations for water waves,especially over the last two decades,it is not yet known whether local singularities can develop from smooth data in well-posed initial value problems.For ideal free-surface flow with zero surface tension and gravity,the authors review existing works that describe"splash singularities",singular hyperbolic solutions related to jet formation and"flip-through",and a recent construction of a singular free surface by Zubarev and Karabut that however involves unbounded negative pressure.The authors illustrate some of these phenomena with numerical computations of 2D flow based upon a conformal mapping formulation.Numerical tests with a different kind of initial data suggest the possibility that corner singularities may form in an unstable way from specially prepared initial data. 展开更多
关键词 Incompressible flow Water wave equations Splash singularity Flipthrough Dirichlet hyperbolas Conformal mapping
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Interaction phenomena between lump and solitary wave of a generalized (3+1)-dimensional variable-coefficient nonlinear-wave equation in liquid with gas bubbles
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作者 jian-guo liu Wen-Hui Zhu +1 位作者 Yan He Ya-Kui Wu 《Communications in Theoretical Physics》 SCIE CAS CSCD 2020年第8期18-26,共9页
In this paper, a generalized (3+1)-dimensional variable-coefficient nonlinear-wave equation is studied in liquid with gas bubbles. Based on the Hirota’s bilinear form and symbolic computation, lump and interaction so... In this paper, a generalized (3+1)-dimensional variable-coefficient nonlinear-wave equation is studied in liquid with gas bubbles. Based on the Hirota’s bilinear form and symbolic computation, lump and interaction solutions between lump and solitary wave are obtained,which include a periodic-shape lump solution, a parabolic-shape lump solution, a cubic-shape lump solution, interaction solutions between lump and one solitary wave, and between lump and two solitary waves. The spatial structures called the bright lump wave and the bright-dark lump wave are discussed. Interaction behaviors of two bright-dark lump waves and a periodic-shape bright lump wave are also presented. Their interactions are shown in some 3D plots. 展开更多
关键词 solitary wave lump wave variable-coefficient nonlinear-wave equation interaction behaviors
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An FFT Based Fast Poisson Solver on Spherical Shells
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作者 Yin-Liang Huang jian-guo liu Wei-Cheng Wang 《Communications in Computational Physics》 SCIE 2011年第3期649-667,共19页
We present a fast Poisson solver on spherical shells.With a special change of variable,the radial part of the Laplacian transforms to a constant coefficient differential operator.As a result,the Fast Fourier Transform... We present a fast Poisson solver on spherical shells.With a special change of variable,the radial part of the Laplacian transforms to a constant coefficient differential operator.As a result,the Fast Fourier Transform can be applied to solve the Poisson equation with O(N^(3) logN)operations.Numerical examples have confirmed the accuracy and robustness of the new scheme. 展开更多
关键词 Poisson equation spherical coordinate FFT spectral-finite difference method fast diagonalization high order accuracy error estimate trapezoidal rule Euler-Maclaurin formula Bernoulli numbers
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A Fourth Order Numerical Method for the Primitive Equations Formulated in Mean Vorticity
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作者 jian-guo liu Cheng Wang 《Communications in Computational Physics》 SCIE 2008年第6期26-55,共30页
A fourth-order finite difference method is proposed and studied for the primitive equations(PEs)of large-scale atmospheric and oceanic flow based on mean vorticity formulation.Since the vertical average of the horizon... A fourth-order finite difference method is proposed and studied for the primitive equations(PEs)of large-scale atmospheric and oceanic flow based on mean vorticity formulation.Since the vertical average of the horizontal velocity field is divergence-free,we can introduce mean vorticity and mean stream function which are connected by a 2-D Poisson equation.As a result,the PEs can be reformulated such that the prognostic equation for the horizontal velocity is replaced by evolutionary equations for the mean vorticity field and the vertical derivative of the horizontal velocity.The mean vorticity equation is approximated by a compact difference scheme due to the difficulty of the mean vorticity boundary condition,while fourth-order long-stencil approximations are utilized to deal with transport type equations for computational convenience.The numerical values for the total velocity field(both horizontal and vertical)are statically determined by a discrete realization of a differential equation at each fixed horizontal point.The method is highly efficient and is capable of producing highly resolved solutions at a reasonable computational cost.The full fourth-order accuracy is checked by an example of the reformulated PEs with force terms.Additionally,numerical results of a large-scale oceanic circulation are presented. 展开更多
关键词 The primitive equations mean vorticity compact scheme long-stencil approximation one-sided extrapolation large scale oceanic circulation.
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Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations
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作者 Lei Li jian-guo liu Yijia Tang 《Communications in Computational Physics》 SCIE 2022年第6期41-82,共42页
We consider in this paper random batch interacting particle methods forsolving the Poisson-Nernst-Planck (PNP) equations, and thus the Poisson-Boltzmann(PB) equation as the equilibrium, in the external unbounded domai... We consider in this paper random batch interacting particle methods forsolving the Poisson-Nernst-Planck (PNP) equations, and thus the Poisson-Boltzmann(PB) equation as the equilibrium, in the external unbounded domain. To justify thesimulation in a truncated domain, an error estimate of the truncation is proved inthe symmetric cases for the PB equation. Then, the random batch interacting particle methods are introduced which are O(N) per time step. The particle methods cannot only be considered as a numerical method for solving the PNP and PB equations,but also can be used as a direct simulation approach for the dynamics of the chargedparticles in solution. The particle methods are preferable due to their simplicity andadaptivity to complicated geometry, and may be interesting in describing the dynamics of the physical process. Moreover, it is feasible to incorporate more physical effectsand interactions in the particle methods and to describe phenomena beyond the scopeof the mean-field equations. 展开更多
关键词 Interacting particle systems Coulomb interaction reflecting stochastic differential equation charge reversal phenomenon singular-regular decomposition
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On Energy Stable Runge-Kutta Methods for the Water Wave Equation and its Simplified Non-Local Hyperbolic Model
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作者 Lei Li jian-guo liu +2 位作者 Zibu liu Yi Yang Zhennan Zhou 《Communications in Computational Physics》 SCIE 2022年第6期222-258,共37页
Although interest in numerical approximations of the water wave equationgrows in recent years, the lack of rigorous analysis of its time discretization inhibits thedesign of more efficient algorithms. In practice of w... Although interest in numerical approximations of the water wave equationgrows in recent years, the lack of rigorous analysis of its time discretization inhibits thedesign of more efficient algorithms. In practice of water wave simulations, the tradeoff between efficiency and stability has been a challenging problem. Thus to shed lighton the stability condition for simulations of water waves, we focus on a model simpli-fied from the water wave equation of infinite depth. This model preserves two mainproperties of the water wave equation: non-locality and hyperbolicity. For the constantcoefficient case, we conduct systematic stability studies of the fully discrete approximation of such systems with the Fourier spectral approximation in space and generalRunge-Kutta methods in time. As a result, an optimal time discretization strategy isprovided in the form of a modified CFL condition, i.e. ∆t = O(√∆x). Meanwhile,the energy stable property is established for certain explicit Runge-Kutta methods.This CFL condition solves the problem of efficiency and stability: it allows numericalschemes to stay stable while resolves oscillations at the lowest requirement, which onlyproduces acceptable computational load. In the variable coefficient case, the convergence of the semi-discrete approximation of it is presented, which naturally connectsto the water wave equation. Analogue of these results for the water wave equationof finite depth is also discussed. To validate these theoretic observation, extensive numerical tests have been performed to verify the stability conditions. Simulations of thesimplified hyperbolic model in the high frequency regime and the water wave equation are also provided. 展开更多
关键词 Runge-Kutta methods NON-LOCALITY HYPERBOLICITY
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