This paper presents a new Lagrangian type scheme for solving the Euler equations of compressible gas dynamics.In this new scheme the system of equations is discretized by Runge-Kutta Discontinuous Galerkin(RKDG)method...This paper presents a new Lagrangian type scheme for solving the Euler equations of compressible gas dynamics.In this new scheme the system of equations is discretized by Runge-Kutta Discontinuous Galerkin(RKDG)method,and the mesh moves with the fluid flow.The scheme is conservative for the mass,momentum and total energy and maintains second-order accuracy.The scheme avoids solving the geometrical part and has free parameters.Results of some numerical tests are presented to demonstrate the accuracy and the non-oscillatory property of the scheme.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.11171038)the Science Foundation of China Academy of Engineering Physics,China(Grant No.2013A0202011)the National Council for Scientific and Technological Development of Brazil(CNPq).
文摘This paper presents a new Lagrangian type scheme for solving the Euler equations of compressible gas dynamics.In this new scheme the system of equations is discretized by Runge-Kutta Discontinuous Galerkin(RKDG)method,and the mesh moves with the fluid flow.The scheme is conservative for the mass,momentum and total energy and maintains second-order accuracy.The scheme avoids solving the geometrical part and has free parameters.Results of some numerical tests are presented to demonstrate the accuracy and the non-oscillatory property of the scheme.
