International Journal for Numerical Methods in Fluids · 1984 · 31 citations · 2 references
ComputingComputational EngineeringMathematicsComputational Fluid DynamicsFinite Element AnalysisFinite Element MethodsConvergence AnalysisFinite Element DiscretizationFinite Element FormulationConservation Law DiscretizationConservation LawsEuler EquationsEuler Equations Of MotionEuler-lagrange EquationsUpwind Schemes
Abstract Several explicit schemes are presented for triangular P 0 and P 1 finite elements . A first‐order accurate upwind P 0 scheme is compared to a FLIC type method. A second‐order accurate Richtmyer scheme is constructed. Applications are given for the Euler system of conservation laws in the 2‐dimensional case.
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Difference Methods for Initial-Value Problems
E. I., Robert D. Richtmyer, K. W. Morton · Mathematics of Computation · 1968 · 3.4K citations
<i>Difference Methods for Initial-Value Problems</i>
Robert D. Richtmyer, E. H. Dill · Physics Today · 1959 · 3.2K citations · Full text