An arbitrary Lagrangian–Eulerian method with adaptive mesh refinement for the solution of the Euler equations

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

Paul R. Woodward, Phillip Colella · Journal of Computational Physics · 1984 · 2.8K citations

Numerical Analysis, Strong Shocks, Compressible Flow +8

Local adaptive mesh refinement for shock hydrodynamics

Marsha Berger, Phillip Colella · Journal of Computational Physics · 1989 · 2.5K citations

Mesh Optimization, Engineering, Shock Hydrodynamics +6

Adaptive mesh refinement for hyperbolic partial differential equations

Marsha Berger, Joseph Oliger · Journal of Computational Physics · 1984 · 2K citations

Numerical Analysis, Mesh Optimization, Engineering +6

Multidimensional upwind methods for hyperbolic conservation laws

Phillip Colella · Journal of Computational Physics · 1990 · 820 citations

Numerical Analysis, Engineering, Hyperbolic Conservation Law +6

Numerical solution of the quasilinear poisson equation in a nonuniform triangle mesh

Alan M. Winslow · Journal of Computational Physics · 1966 · 559 citations

Numerical Analysis, Elliptic Equation, Engineering +8