Piecewise parabolic method on local stencil for gasdynamic simulations
From MaRDI portal
Publication:6123137
DOI10.1134/s0965542507120081OpenAlexW1967827124MaRDI QIDQ6123137
Mikhail V. Popov, Sergey D. Ustyugov
Publication date: 4 March 2024
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/zvmmf211
numerical methodsRiemann invariantshyperbolic systems of equationsPPMnumerical methods in gas dynamicslocal stencilPPML
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Cites Work
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- The piecewise parabolic method (PPM) for gas-dynamical simulations
- Numerical experiments on the accuracy of ENO and modified ENO schemes
- Multidimensional upwind methods for hyperbolic conservation laws
- The numerical simulation of two-dimensional fluid flow with strong shocks
- A comparative study of advanced shock-capturing schemes applied to Burgers' equation
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- Accurate monotonicity-preserving schemes with Runge-Kutta time stepping
- Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
- High resolution Godunov-type schemes with small stencils
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- A contribution to the great Riemann solver debate
- Weak solutions of nonlinear hyperbolic equations and their numerical computation