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MmB DIFFERENCE SCHEMES FOR TWODIMENSIONAL HYPERBOLIC CONSERVATION LAWS
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作者 ZHENGHua-sheng ZHAONing 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2004年第4期253-257,共5页
A new class of second order accuracy semidiscrete difference schemes is presented for the two-dimensional nonlinear scalar hyperbolic conservation laws. It is based on flux splitting, piecewise linear cell-averaged re... A new class of second order accuracy semidiscrete difference schemes is presented for the two-dimensional nonlinear scalar hyperbolic conservation laws. It is based on flux splitting, piecewise linear cell-averaged reconstruction and upwind property in the spatial discretization. By using TVD Runge-Kutta time discretization method, the full discrete scheme is obtained and its MmB property is proved. The extension to the two-dimensionalnonlinear hyperbolic conservation law systems is straightforward by using component-wise manner. The main advantage is simple: no Riemann problem is solved, and so field-by-field decomposition is avoided and the complicated computation is reduced. Numerical results of two-dimensional Euler equations of compressible gas dynamics verify the accuracy and robustness of the method. 展开更多
关键词 hyperbolic conservation laws MmB diffe-rence scheme flux splitting cell-averaged reconstruction
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Global Structure Stability of Riemann Solution of Quasilinear Hyperbolic System of Conservation Law in Presence of Boundary:Shocks and Contact Discontinuities
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作者 JIN Cui-Lian 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第11期1027-1032,共6页
In this paper, we investigate a class of mixed initial-boundary value problems for a kind of n × n quasilinear hyperbolic systems of conservation laws on the quarter plan. We show that the structure of the pieeew... In this paper, we investigate a class of mixed initial-boundary value problems for a kind of n × n quasilinear hyperbolic systems of conservation laws on the quarter plan. We show that the structure of the pieeewise C^1 solution u = u(t, x) of the problem, which can be regarded as a perturbation of the corresponding Riemann problem, is globally similar to that of the solution u = U(x/t) of the corresponding Riemann problem. The piecewise C^1 solution u = u(t, x) to this kind of problems is globally structure-stable if and only if it contains only non-degenerate shocks and contact discontinuities, but no rarefaction waves and other weak discontinuities. 展开更多
关键词 Riemann problem hyperbolic system conservation laws global structure stability
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Quasilinear Hyperbolic Conservation Laws with Relaxation
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作者 LIU Fa-gui ZHANG Yuan-zhang 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第1期143-154,共12页
In this paper, we investigate the relaxation phenomenon for quasilinear hyperbolic conservation laws, and obtain global smooth solutions and the life span of classical solutions to its Cauchy problem. These results sh... In this paper, we investigate the relaxation phenomenon for quasilinear hyperbolic conservation laws, and obtain global smooth solutions and the life span of classical solutions to its Cauchy problem. These results shows that the relaxation admits the effects of dissipation. 展开更多
关键词 conservation laws RELAXATION DISSIPATION global classical solution life span
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AHigh-Resolution Hybrid Scheme for Solving Three Dimensional Euler Equations of High Speed Inlet Flows 被引量:1
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作者 WangBao-Guo BianYin-Gui 《Journal of Thermal Science》 SCIE EI CAS CSCD 1996年第3期164-167,共4页
A new and efficient three-dimensional implicit hybrid scheme for Euler equations is presented. The basic scheme is the coupling of the Jameson and Turkel's LU decompositions and Prof. Zhang Hanxin'sNND concept... A new and efficient three-dimensional implicit hybrid scheme for Euler equations is presented. The basic scheme is the coupling of the Jameson and Turkel's LU decompositions and Prof. Zhang Hanxin'sNND concept. The improved LU decompositions are applied to discretize the implicit part of the Euler Equations and Zhang's modified flux function to calculate the right hand side operators of the hybrid scheme. Numerical calculations were made of supersonic inlet flows with mired eXternal-internal compressions. Some of the computed results were compared with available wind tunnel data. 展开更多
关键词 LU scheme AND scheme LU-TVD hybrid scheme 3D Euler equations inlet flows
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