In this paper, a three explicit difference shcemes with high order accuracy for solving the equations of two-dimensional parabolic type is proposed. The stability condition is r= At/Ax 2 =At/Ay2~I/I and the truncation error is O(/kt~+ Axe).
An Energy-Stable High-Order Central Difference Scheme for the Two-Dimensional Shallow Water Equations
β Scribed by Matthew Brown; Margot Gerritsen
- Publisher
- Springer US
- Year
- 2005
- Tongue
- English
- Weight
- 298 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0885-7474
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## SUMMARY An optimizing reduced implicit difference scheme (IDS) based on singular value decomposition (SVD) and proper orthogonal decomposition (POD) for the twoβdimensional unsaturated soil water flow equation is presented. An ensemble of snapshots is compiled from the transient solutions derive
a plethora of problems in computational fluid dynamics that have these characteristics. Examples are the numerical We derive high-order finite difference schemes for the compressible Euler (and Navier-Stokes equations) that satisfy a semidiscrete β’ Addition of an artificial viscosity term in refine