Abstract
This study introduces the Boundary Averaged Multi-moment Constrained finite-Volume (BA-MCV) scheme for 1-D transport with Hermite Weighted Essentially Non-Oscillatory (HWENO) limiting using the ADER Differential Transform (ADER-DT) time discretization. The BA-MCV scheme evolves a cell average using a Finite-Volume (FV) scheme, and it adds further constraints as point wise derivatives of the state at cell boundaries, which are evolved in strong form using PDE derivatives. The resulting scheme maintains a Maximum Stable CFL (MSCFL) value of one no matter how high-order the scheme is. Also, parallel communication requirements are very low and will be described. h-refinement experiments demonstrate proper convergence order, and p-refinement experiments demonstrate expected exponential convergence. The overall ADER-DT + BA-MCV + HWENO scheme is a scalable and larger time step alternative to Galerkin methods for multi-moment fluid simulation in climate and weather applications.
| Original language | English |
|---|---|
| Pages (from-to) | 2688-2697 |
| Number of pages | 10 |
| Journal | Procedia Computer Science |
| Volume | 51 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2015 |
| Event | International Conference on Computational Science, ICCS 2002 - Amsterdam, Netherlands Duration: Apr 21 2002 → Apr 24 2002 |
Funding
This study used the Sage open-source mathematical software system, a free, GPL-licensed, open-source codebase. This research used resources of the National Center for Computational Sciences at Oak Ridge National Laboratory, which is supported by the Office of Science of the U.S. Department of Energy under Contract No.DE-AC05-00OR22725.
| Funders | Funder number |
|---|---|
| U.S. Department of Energy | |
| Office of Science |
Keywords
- ADER
- Finite-volume
- Hermite WENO
- Multi-moment
- Transport