articleTop 1% cited
The numerical simulation of two-dimensional fluid flow with strong shocks
Journal of Computational Physics · 1984 · Vol. 54(1) · pp. 115–173
Paul R. Woodward✉(Lawrence Livermore National Laboratory)Phillip Colella(Lawrence Berkeley National Laboratory)
Computational Fluid Dynamics and AerodynamicsFluid Dynamics and Turbulent FlowsNavier-Stokes equation solutionsClassification of discontinuitiesNonlinear systemFlow (mathematics)GridApplied mathematicsEuler equationsFluid dynamicsRiemann solverRiemann hypothesisCartesian coordinate system
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References
A Method for the Numerical Calculation of Hydrodynamic Shocks
Journal of Applied Physics · 1950 · 2,101 citations
Fully multidimensional flux-corrected transport algorithms for fluids
Journal of Computational Physics · 1979 · 2,579 citations
The Piecewise Parabolic Method (PPM) for gas-dynamical simulations
Journal of Computational Physics · 1984 · 3,864 citations
Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection
Journal of Computational Physics · 1977 · 2,403 citations
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
Journal of Computational Physics · 1979 · 6,931 citations
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
Journal of Computational Physics · 1978 · 2,568 citations
Difference Methods for Initial-Value Problems
Mathematics of Computation · 1968 · 3,355 citations
Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works
Journal of Computational Physics · 1973 · 2,099 citations
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