Using the PPML approach for constructing a low-dissipation, operator-splitting scheme for numerical simulations of hydrodynamic flows
arXiv:1607.01105 · doi:10.1016/j.jcp.2016.04.057
Abstract
An approach for constructing a low-dissipation numerical method is described. The method is based on a combination of the operator-splitting method, Godunov method, and piecewise-parabolic method on the local stencil. Numerical method was tested on a standard suite of hydrodynamic test problems. In addition, the performance of the method is demonstrated on a global test problem showing the development of a spiral structure in a gravitationally unstable gaseous galactic disk.
References in corpus (19)
- E pur si muove: Galiliean-invariant cosmological hydrodynamical simulations on a moving mesh
- Cosmological SPH simulations: The entropy equation
- Enzo: An Adaptive Mesh Refinement Code for Astrophysics
- Fundamental differences between SPH and grid methods
- Efficient, High Accuracy ADER-WENO Schemes for Hydrodynamics and Divergence-Free Magnetohydrodynamics
- Multidimensional HLLE Riemann solver; Application to Euler and Magnetohydrodynamic Flows
- A Two-dimensional HLLC Riemann Solver for Conservation Laws : Application to Euler and MHD Flows
- A test suite for quantitative comparison of hydrodynamics codes in astrophysics
- Dynamics of Circumstellar Disks
- Physical viscosity in smoothed particle hydrodynamics simulations of galaxy clusters
- Lagrangian ADER-WENO Finite Volume Schemes on Unstructured Triangular Meshes Based On Genuinely Multidimensional HLL Riemann Solvers
- High Order Lagrangian ADER-WENO Schemes on Unstructured Meshes - Application of Several Node Solvers to Hydrodynamics and Magnetohydrodynamics
- Adaptive smoothing lengths in SPH
- BETHE-Hydro: An Arbitrary Lagrangian-Eulerian Multi-dimensional Hydrodynamics Code for Astrophysical Simulations
- Collisionless Stellar Hydrodynamics as an Efficient Alternative to N-body Methods
- Shape and orientation of stellar velocity ellipsoids in spiral galaxies
- The effect of external environment on the evolution of protostellar disks
- Boltzmann moment equation approach for the numerical study of anisotropic stellar disks
- Self-gravitating equilibrium models of dwarf galaxies and the minimum mass for star formation