An Efficient Dynamically Adaptive Mesh for Potentially Singular Solutions

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

Remarks on the breakdown of smooth solutions for the 3-D Euler equations

J. Thomas Beale, T. Kato, Andrew J. Majda · Communications in Mathematical Physics · 1984 · 1.6K citations

Natural Sciences, Mathematics, Physics +13

The deformation of steep surface waves on water - I. A numerical method of computation

M. S. Longuet‐Higgins, Edward D. Cokelet · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1976 · 1.1K citations

Natural Sciences, Oceanography, Physics +14

A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows

Yin-Yu Chang, Tingzheng Hou, Barry Merriman et al. · Journal of Computational Physics · 1996 · 794 citations

Engineering, Mechanical Engineering, Physics +13

Small-scale structure of the Taylor–Green vortex

Marc Brächet, D. I. Meiron, Steven A. Orszag et al. · Journal of Fluid Mechanics · 1983 · 748 citations

Natural Sciences, Physics, Computational Fluid Dynamics +16