Optimization-based remap and transport: A divide and conquer strategy for feature-preserving discretizations

Local adaptive mesh refinement for shock hydrodynamics

Marsha Berger, Phillip Colella · Journal of Computational Physics · 1989 · 2.6K citations

Engineering, Computational Engineering, Mechanical Engineering +14

An arbitrary Lagrangian-Eulerian computing method for all flow speeds

C.W. Hirt, A.A. Amsden, J.L. Cook · Journal of Computational Physics · 1974 · 2.3K citations

Engineering, Mathematics, Mechanical Engineering +12

The design and application of upwind schemes on unstructured meshes

Timothy J. Barth, Dennis C. Jespersen · 27th Aerospace Sciences Meeting · 1989 · 2.2K citations

Computing, Computational Engineering, Mathematics +10

Characteristic-Based Schemes for the Euler Equations

Philip L. Roe · Annual Review of Fluid Mechanics · 1986 · 1.8K citations

Natural Sciences, Mathematics, Physics +12

An Arbitrary Lagrangian–Eulerian Computing Method for All Flow Speeds

C.W. Hirt, A.A. Amsden, J.L. Cook · Journal of Computational Physics · 1997 · 1.7K citations

Engineering, Mathematics, Mechanical Engineering +12