A cartesian grid embedded boundary method for hyperbolic conservation laws
- LBNL Library
We present a second-order Godunov algorithm to solve time-dependent hyperbolic systems of conservation laws on irregular domains. Our approach is based on a formally consistent discretization of the conservation laws on a finite-volume grid obtained from intersecting the domain with a Cartesian grid. We address the small-cell stability problem associated with such methods by hybridizing our conservative discretization with a stable, nonconservative discretization at irregular control volumes, and redistributing the difference in the mass increments to nearby cells in a way that preserves stability and local conservation. The resulting method is second-order accurate in L{sup 1} for smooth problems, and is robust in the presence of large-amplitude discontinuities intersecting the irregular boundary.
- Research Organization:
- Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, CA (US)
- Sponsoring Organization:
- USDOE Director. Office of Science. Office of Advanced Scientific Computing Research. Mathematical Information and Computing Sciences Division, Computational Science Graduate Fellowship Contract DE-FG02-97ER25308. Sandia National Laboratory (US)
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 841320
- Report Number(s):
- LBNL--56420
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 12 Vol. 51
- Country of Publication:
- United States
- Language:
- English
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