The Piecewise Parabolic Method (PPM) for gas-dynamical simulations

Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method

Bram van Leer · Journal of Computational Physics · 1979 · 7K citations

Natural Sciences, Computational Engineering, Mathematics +11

The numerical simulation of two-dimensional fluid flow with strong shocks

Paul R. Woodward, Phillip Colella · Journal of Computational Physics · 1984 · 2.9K citations

Natural Sciences, Mathematics, Physics +14

Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection

Bram van Leer · Journal of Computational Physics · 1977 · 2.4K citations

Natural Sciences, Mathematics, Mechanical Engineering +15

Supersonic Flow and Shock Waves

M. J. Lighthill · Nature · 1949 · 2.2K citations · Full text

Engineering, Aerospace Engineering, Physics +13

Efficient solution algorithms for the Riemann problem for real gases

Phillip Colella, Harland M. Glaz · Journal of Computational Physics · 1985 · 546 citations · Full text

Natural Sciences, Mathematics, Physics +13