Direct Arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes

<i>E pur si muove:</i>Galilean-invariant cosmological hydrodynamical simulations on a moving mesh

Volker Springel · Monthly Notices of the Royal Astronomical Society · 2009 · 2.4K citations · Full text

Natural Sciences, Mathematics, Physics +16

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

Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme

Bram van Leer · Journal of Computational Physics · 1974 · 2.2K citations

Natural Sciences, Computational Engineering, Mathematics +14

A Method for the Numerical Calculation of Hydrodynamic Shocks

J. VonNeumann, Robert D. Richtmyer · Journal of Applied Physics · 1950 · 2.1K citations

Natural Sciences, Mathematics, Physics +10

Numerical methods for nonconservative hyperbolic systems: a theoretical framework.

Carlos Parés · SIAM Journal on Numerical Analysis · 2006 · 524 citations

Natural Sciences, Mathematics, Physics +15