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On the optimization of numerical dispersion and dissipation of finite difference scheme for linear advection equation
| Content Provider | Semantic Scholar |
|---|---|
| Author | Krivovichev, Gerasim V. Marnopolskaya, Elena S. |
| Copyright Year | 2016 |
| Abstract | Finite difference scheme for linear advection equation with dependence on scalar dimensionless parameter is constructed. Stability of the scheme is investigated by von Neumann method and stability domain in parameter space is constructed. Dispersive and dissipative properties of the scheme are optimized by the choice of scalar parameter. Low dispersion and dissipation of the scheme is demonstrated by the numerical solution of simple test Cauchy problem. Scheme constructed may be applied in computations based on splitting method for Boltzmann or lattice Boltzmann equations. Mathematics Subject Classification: 65M12, 35E99 |
| Starting Page | 2381 |
| Ending Page | 2389 |
| Page Count | 9 |
| File Format | PDF HTM / HTML |
| DOI | 10.12988/ams.2016.64163 |
| Alternate Webpage(s) | http://www.m-hikari.com/ams/ams-2016/ams-45-48-2016/p/krivovichevAMS45-48-2016.pdf |
| Alternate Webpage(s) | https://doi.org/10.12988/ams.2016.64163 |
| Volume Number | 10 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |