Discontinuous finite elements and Godunov-type methods for the Eulerian equations of gas dynamics
DOI10.1016/0045-7825(85)90048-9zbMath0594.76058OpenAlexW1987326802MaRDI QIDQ1077273
Publication date: 1985
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(85)90048-9
Burgers' equationnumerical solutiondiscontinuous finite element methodsconvergent-divergent nozzle geometryone-dimensional shock wave problem with reflectionthree-dimensional shock tube-type problem withthree-dimensional shock tube-type problem with convergent-divergent nozzle geometrytime-dependent shock wavevariant of Glimm's methodvariants of Godunov's conservative method
Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Basic methods in fluid mechanics (76M99)
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- Numerical solution of Burgers' equations in two space dimensions
- A mathematical introduction to fluid mechanics
- Discontinuous finite elements and Godunov-type methods for the Eulerian equations of gas dynamics
- Continuous and discontinuous finite element methods for Burgers' equation
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Numerical solutions of the Eulerian equations of compressible flow by a finite element method which follows the free boundary and the interfaces
- Discontinuous finite-element approximations for the analysis of shock waves in nonlinearly elastic materials
- A theory of discontinuous finite element Galerkin approximations of shock waves in nonlinear elastic solids. I: Variational theory
- Mixed finite-element methods for incompressible flow problems
- Finite Element Collocation Methods for First Order Systems
- On the Relation Between the Upwind-Differencing Schemes of Godunov, Engquist–Osher and Roe
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Stable and Entropy Satisfying Approximations for Transonic Flow Calculations
- Discontinuous Galerkin Methods for Ordinary Differential Equations
- Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
- A finite element method for Burgers' equation in hydrodynamics
- A second order finite element method for the one-dimensional Stefan problem
- Solutions in the large for nonlinear hyperbolic systems of equations
- A Simplified Simplification of Carathéodory's Treatment of Thermodynamics
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