In this work,a genuinely two-dimensional HLL-type approximate Riemann solver is proposed for hypo-elastic plastic flow.To consider the effects of wave interaction from both the x-and y-directions,a corresponding 2D el...In this work,a genuinely two-dimensional HLL-type approximate Riemann solver is proposed for hypo-elastic plastic flow.To consider the effects of wave interaction from both the x-and y-directions,a corresponding 2D elastic-plastic approximate solver is constructed with elastic-plastic transition embedded.The resultant numerical flux combines one-dimensional numerical flux in the central region of the cell edge and two-dimensional flux in the cell vertex region.The stress is updated separately by using the velocity obtained with the above approximate Riemann solver.Several numerical tests,including genuinely two-dimensional examples,are presented to test the performances of the proposed method.The numerical results demonstrate the credibility of the present 2D approximate Riemann solver.展开更多
A cell-centered Lagrangian scheme is developed for the numerical simula-tion of wave propagations in one dimensional(1D)elastic-plasticflow.The classical elastic-plastic material model initially proposed by Wilkins is ...A cell-centered Lagrangian scheme is developed for the numerical simula-tion of wave propagations in one dimensional(1D)elastic-plasticflow.The classical elastic-plastic material model initially proposed by Wilkins is adopted.The linear elas-tic model(Hooke’s Law),perfectly plastic model and von Mises yield criterion are used to describe the constitutive relationship of elastic-plastic solid.The second-order ex-tension of this scheme is achieved by a linear reconstruction method.Various numer-ical tests are simulated to check the capability of this scheme in capturing nonlinear elastic-plastic waves.Compared with the well-developed operator splitting method used in simulating elastic-plasticflow,this scheme is more accurate due to the con-sideration of a list of 64 different types of the nonlinear elastic-plastic waves when constructing the elastic-perfectly plastic Riemann solver.The numerical simulations of typical examples show competitive results.展开更多
In this work,in order to capture discontinuities correctly in linear elastic solid,augmented internal energy is defined according to the first law of thermodynamics and Hooke’s law.The non-conservative linear elastic...In this work,in order to capture discontinuities correctly in linear elastic solid,augmented internal energy is defined according to the first law of thermodynamics and Hooke’s law.The non-conservative linear elastic system is then rewritten into a conservative form with the help of an augmented total energy equation.We find that the non-physical oscillations occur to the popular HLL and HLLC approximate Riemann solvers when directly applied to simulate the augmented linear elastic solid.We analyze the intrinsic reason by defining a discrepancy factor which can be used to estimate the difference of the total stress across a contact discontinuity,where it is physically required to be continuous.We discover that non-physical oscillations inevitably appear in the vicinity of the contact discontinuity if this factor is away from zero for an approximate Riemann problem solver.In order to overcome this difficulty,we propose an approximate Riemann solver based on the linearized double-shock technique.Theoretical analysis and numerical results show that in comparison to the HLL and HLLC approximate Riemann solvers,the present linearized double-shock Riemann solver can eliminate the non-physical oscillations effectively.展开更多
Image-based face pose estimation tries to estimate the facial direction with 2D images.It provides important information for many face recognition applications.However,it is a difficult task due to complex conditions ...Image-based face pose estimation tries to estimate the facial direction with 2D images.It provides important information for many face recognition applications.However,it is a difficult task due to complex conditions and appearances.Deep learning method used in this field has the disadvantage of ignoring the natural structures of human faces.To solve this problem,a framework is proposed in this paper to estimate face poses with regression,which is based on deep learning and multi-modal feature loss(M2FL).Different from current loss functions using only a single type of features,the descriptive power was improved by combining multiple image features.To achieve it,hypergraph-based manifold regularization was applied.In this way,the loss of face pose estimation was reduced.Experimental results on commonly-used benchmark datasets demonstrate the performance of M2FL.展开更多
基金supported by the NSFC-NSAF joint fund(Grant No.U1730118)the Science Challenge Project(Grant No.JCKY2016212A502)+1 种基金the National Natural Science Foundation of China(Grant No.12101029)Postdoctoral Science Foundation of China(Grant No.2020M680283).
文摘In this work,a genuinely two-dimensional HLL-type approximate Riemann solver is proposed for hypo-elastic plastic flow.To consider the effects of wave interaction from both the x-and y-directions,a corresponding 2D elastic-plastic approximate solver is constructed with elastic-plastic transition embedded.The resultant numerical flux combines one-dimensional numerical flux in the central region of the cell edge and two-dimensional flux in the cell vertex region.The stress is updated separately by using the velocity obtained with the above approximate Riemann solver.Several numerical tests,including genuinely two-dimensional examples,are presented to test the performances of the proposed method.The numerical results demonstrate the credibility of the present 2D approximate Riemann solver.
基金The author would like to thank the referees for the helpful suggestions.This work is supported by National Science Foundation of China(Grants Nos.12002062,91852207,11801036,12002063 and 11972093)NSFC-NSAF Joint Fund(Grants No.U1730118)+1 种基金President Foundation of CAEP(Grant No.YZJJLX2018012)National Key Project(Grant No.GJXM92579).
文摘A cell-centered Lagrangian scheme is developed for the numerical simula-tion of wave propagations in one dimensional(1D)elastic-plasticflow.The classical elastic-plastic material model initially proposed by Wilkins is adopted.The linear elas-tic model(Hooke’s Law),perfectly plastic model and von Mises yield criterion are used to describe the constitutive relationship of elastic-plastic solid.The second-order ex-tension of this scheme is achieved by a linear reconstruction method.Various numer-ical tests are simulated to check the capability of this scheme in capturing nonlinear elastic-plastic waves.Compared with the well-developed operator splitting method used in simulating elastic-plasticflow,this scheme is more accurate due to the con-sideration of a list of 64 different types of the nonlinear elastic-plastic waves when constructing the elastic-perfectly plastic Riemann solver.The numerical simulations of typical examples show competitive results.
基金supported by the NSFC-NSAF joint fund(No.U1730118)the Post-doctoral Science Foundation of China(No.2020M680283)the Science Challenge Project(No.JCKY2016212A502).
文摘In this work,in order to capture discontinuities correctly in linear elastic solid,augmented internal energy is defined according to the first law of thermodynamics and Hooke’s law.The non-conservative linear elastic system is then rewritten into a conservative form with the help of an augmented total energy equation.We find that the non-physical oscillations occur to the popular HLL and HLLC approximate Riemann solvers when directly applied to simulate the augmented linear elastic solid.We analyze the intrinsic reason by defining a discrepancy factor which can be used to estimate the difference of the total stress across a contact discontinuity,where it is physically required to be continuous.We discover that non-physical oscillations inevitably appear in the vicinity of the contact discontinuity if this factor is away from zero for an approximate Riemann problem solver.In order to overcome this difficulty,we propose an approximate Riemann solver based on the linearized double-shock technique.Theoretical analysis and numerical results show that in comparison to the HLL and HLLC approximate Riemann solvers,the present linearized double-shock Riemann solver can eliminate the non-physical oscillations effectively.
基金the National Natural Science Foundation of China(61871464 and 61836002)the Fujian Provincial Natural Science Foundation of China(2018J01573)+1 种基金the Foundation of Fujian Educational Committee(JAT160357)Distinguished Young Scientific Research Talents Plan in Universities of Fujian Province and the Program for New Century Excellent Talents in University of Fujian Province.
文摘Image-based face pose estimation tries to estimate the facial direction with 2D images.It provides important information for many face recognition applications.However,it is a difficult task due to complex conditions and appearances.Deep learning method used in this field has the disadvantage of ignoring the natural structures of human faces.To solve this problem,a framework is proposed in this paper to estimate face poses with regression,which is based on deep learning and multi-modal feature loss(M2FL).Different from current loss functions using only a single type of features,the descriptive power was improved by combining multiple image features.To achieve it,hypergraph-based manifold regularization was applied.In this way,the loss of face pose estimation was reduced.Experimental results on commonly-used benchmark datasets demonstrate the performance of M2FL.