Using a combination of Godunov and Rusanov solvers based on the piecewise parabolic reconstruction of primitive variables for numerical simulation of supernovae …

IM Kulikov - Lobachevskii Journal of Mathematics, 2022 - Springer
A low-dissipation modification of Godunov's method based on a multidimensional piecewise-
parabolic representation of numerical solutions on a local stencil is proposed. The …

Self-gravitational Force Calculation of Second-order Accuracy Using the Multigrid Method on Nested Grids

HH Wang, CC Yen - The Astrophysical Journal Supplement …, 2020 - iopscience.iop.org
We present a simple and effective multigrid-based Poisson solver of second-order accuracy
in both gravitational potential and forces in terms of the one, two, and infinity norms. The …