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High-order finite-volume adaptive methods on locally rectangular grids
- Source :
- Journal of Physics: Conference Series. 180:012010
- Publication Year :
- 2009
- Publisher :
- IOP Publishing, 2009.
-
Abstract
- We are developing a new class of finite-volume methods on locally-refined and mapped grids, which are at least fourth-order accurate in regions where the solution is smooth. This paper discusses the implementation of such methods for time-dependent problems on both Cartesian and mapped grids with adaptive mesh refinement. We show 2D results with the Berger-Colella shock-ramp problem in Cartesian coordinates, and fourth-order accuracy of the solution of a Gaussian pulse problem in a polytropic gas in mapped coordinates.
Details
- ISSN :
- 17426596
- Volume :
- 180
- Database :
- OpenAIRE
- Journal :
- Journal of Physics: Conference Series
- Accession number :
- edsair.doi...........bfb587a52c2acea41d6850a7bf875f72