A second order difference scheme with nonuniform rectangular meshes for nonlinear parabolic system
β Scribed by Zheng-su Wan; Guang-nan Chen
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2008
- Tongue
- English
- Weight
- 173 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0168-9673
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## Abstract A linearized threeβlevel difference scheme on nonuniform meshes is derived by the method of the reduction of order for the Neumann boundary value problem of a nonlinear parabolic system. It is proved that the difference scheme is uniquely solvable and secondβorder convergent in __L__~__
A second-order-accurate finite difference discretization of the incompressible Navier-Stokes is presented that discretely conserves mass, momentum, and kinetic energy (in the inviscid limit) in space and time. The method is thus completely free of numerical dissipation and potentially well suited to