Spectral/HP Element Method With Hierarchical Reconstruction for Solving Hyperbolic Conservation Laws
Journal Article
·
· Acta Mathematica Scientia, 29B(6):1737-1748
Hierarchical reconstruction (HR) has been successfully applied to prevent oscillations in solutions computed by finite volume, discontinuous Galerkin, spectral volume schemes when solving hyperbolic conservation laws. In this paper, we demonstrate that HR can also be combined with spectral/hp element methods for solving hyperbolic conservation laws. We show that HR preserves the order of accuracy of spectral/hp element methods for smooth solutions and generate essentially non-oscillatory solution profiles for shock wave problems.
- Research Organization:
- Pacific Northwest National Lab. (PNNL), Richland, WA (United States). Environmental Molecular Sciences Lab. (EMSL)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC05-76RL01830
- OSTI ID:
- 973434
- Report Number(s):
- PNNL-SA-68579; 32299; KJ0401000
- Journal Information:
- Acta Mathematica Scientia, 29B(6):1737-1748, Journal Name: Acta Mathematica Scientia, 29B(6):1737-1748
- Country of Publication:
- United States
- Language:
- English
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