A New Lattice Bhatnagar-Gross-Krook Model for the Convection-Diffusion Equation with a Source Term
被引量：4
参考文献24
-
1Qian Y, Succi S and Orszag S 1995 Ann. Rev. Comput.Phys. 3 195.
-
2Feng S D, Yang J L, Gao X Let al 2002 Chin. Phys. Lett.19 358.
-
3Shi B C, Guo Z L and WangN C 2002 Chin. Phys. Lett.19 515.
-
4Qian Y 1993 J. Sci. Comput. 8 231.
-
5Li H B, Kong L J and Liu M R et al 2000 Acta Phys. Sin.49 392 (in Chinese).
-
6Sun C H 1998 Phys. Rev. E 58 7283.
-
7Feng S D and Michihisa T 2001 Acta Phys. Sin. 50 1006(in Chinese).
-
8Shan X and Chen H 1993 Phys. Rev. E 47 1815.
-
9Fang H P, Wan R Z, Fan L W 2000 Chin. Phys. 9 515.
-
10Xu Y S, Zhong Y J and Huang G X 2004 Chin. Phys. Lett.21 1298.
同被引文献6
-
1马昌凤,唐嘉,陈小红.模拟MKDV方程的格子BGK模型[J].应用力学学报,2007,24(4):519-521. 被引量：7
-
2马昌凤.A New Lattice Boltzmann Model for KdV-Burgers Equation[J].Chinese Physics Letters,2005,22(9):2313-2315. 被引量：9
-
3马昌凤,施保昌.Lattice Bhatnagar-Gross-Krook Simulations of Hydromagnetic Double-Diffusive Convection in a Rectangular Enclosure with Opposing Temperature and Concentration Gradients[J].Chinese Physics Letters,2006,23(7):1842-1845. 被引量：3
-
4马昌凤.模拟MKDV方程的格子Boltzmann方法[J].空气动力学学报,2006,24(4):495-497. 被引量：6
-
5沈智军,袁光伟,沈隆钧.格子Boltzmann方法求解Burgers方程(英文)[J].计算物理,2000,17(1):166-172. 被引量：9
-
6郭照立,施保昌,等.Non—equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method[J].Chinese Physics B,2002,11(4):366-374. 被引量：154
引证文献4
-
1赖惠林,马昌凤.非线性偏微分方程的高阶格子BGK模型[J].中国科学（G辑）,2009,39(7):913-922. 被引量：6
-
2乐励华,高云,刘唐伟.偏微分方程求解的一种新颖方法——格子Boltzmann模型[J].大学数学,2011,27(3):75-82. 被引量：2
-
3H. Sajjadi,M. Salmanzadeh,G. Ahmadi,S. Jafari.Lattice Boltzmann method and RANS approach for simulation of turbulent flows and particle transport and deposition[J].Particuology,2017,15(1):62-72. 被引量：3
-
4Arman Safdari,Kyung Chun Kim.Lattice Boltzmann model of percutaneous drug absorption[J].Theoretical & Applied Mechanics Letters,2019,9(1):1-6.
二级引证文献10
-
1曾建邦,李隆键,廖全,崔文智,陈清华,潘良明.基于相变过程的格子Boltzmann模型及应用[J].科学通报,2010,55(3):205-211. 被引量：1
-
2周志强,何郁波.一类非线性偏微分方程的四阶格子Boltzmann模型[J].纯粹数学与应用数学,2012,28(1):29-35. 被引量：1
-
3温军玲,严壮志,林笑曼.格子波尔兹曼方法的医学图像同步去噪增强算法[J].小型微型计算机系统,2013,34(9):2197-2200. 被引量：8
-
4许爱国,张广财,李英骏,李华.非平衡与多相复杂系统模拟研究——Lattice Boltzmann动理学理论与应用[J].物理学进展,2014,34(3):136-167. 被引量：26
-
5彭碧涛,郑洲顺,刘红娟,汤慧萍,王建忠.求解二维对流扩散方程的格子Boltzmann方法[J].计算机工程与应用,2015,51(23):68-73. 被引量：3
-
6李校,郑林.基于格子玻尔兹曼方法的室内颗粒运动模拟[J].南京理工大学学报,2018,42(5):591-596. 被引量：3
-
7Jianjun Lin,Huisu Chen.Lattice Boltzmann simulation of fluid flow through random packing beds of Platonic particles: Effect of particle characteristics[J].Particuology,2019,17(6):41-53.
-
8张宗宁,李春光,董建强.变系数广义KdV-Burgers方程的格子Boltzmann模型[J].数学物理学报（A辑）,2021,41(5):1283-1295.
-
9Hasan Sajjadi,Amin Amiri Delouei,Rasul Mohebbi,Mohsen Izadi,Sauro Succi.Natural Convection Heat Transfer in a Porous Cavity with Sinusoidal Temperature Distribution Using Cu/Water Nanofluid: Double MRT Lattice Boltzmann Method[J].Communications in Computational Physics,2021,29(1):292-318.
-
10陈梦涵,王希胤,李金.KdV方程的格子Boltzmann模型求解[J].华北理工大学学报（自然科学版）,2024,46(1):103-110.
-
1余晓美,施保昌.A lattice Bhatnagar-Gross-Krook model for a class of the generalized Burgers equations[J].Chinese Physics B,2006,15(7):1441-1449.
-
2刘芳,赵海龙.多孔介质方程的格子Boltzmann模型[J].长春工业大学学报,2015,36(5):481-484. 被引量：1
-
3XU Hongmei,MA Huiling.Global Existence and Decay Estimate of Solution to One Dimensional Convection-Diffusion Equation[J].Wuhan University Journal of Natural Sciences,2013,18(6):461-465. 被引量：1
-
4Alain Haraux,Mohamed Ali Jendoubi.ON A SECOND ORDER DISSIPATIVE ODE IN HILBERT SPACE WITH AN INTEGRABLE SOURCE TERM[J].Acta Mathematica Scientia,2012,32(1):155-163.
-
5Gao, Zhi, Hu, Li-Min.PERTURBATIONAL FINITE DIFFERENCE SCHEME OF CONVECTION-DIFFUSION EQUATION[J].Journal of Hydrodynamics,2002,14(2):51-57. 被引量：4
-
6Grigory I.Shishkin.A Finite Difference Scheme on a Priori Adapted Meshes for a Singularly Perturbed Parabolic Convection-Diffusion Equation[J].Numerical Mathematics(Theory,Methods and Applications),2008,1(2):214-234. 被引量：4
-
7Xianggui Li,Xijun Yu,Guangnan Chen.ERROR ESTIMATES OF THE FINITE ELEMENT METHOD WITH WEIGHTED BASIS FUNCTIONS FOR A SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATION[J].Journal of Computational Mathematics,2011,29(2):227-242.
-
8R.Mythili Priyadharshini,N.Ramanujam.Approximation of Derivative for a Singularly Perturbed Second-Order ODE of Robin Type with Discontinuous Convection Coefficient and Source Term[J].Numerical Mathematics(Theory,Methods and Applications),2009,2(1):100-118.
-
9刘芳,施卫平.用格子Boltzmann方法模拟非线性热传导方程[J].应用数学和力学,2015,36(11):1158-1166. 被引量：7
-
10郝方原,王瑞强.耦合三端子量子点系统中Andreev反射调控的热电输运[J].华南师范大学学报（自然科学版）,2014,46(1):37-41.
;
