Time-Split Methods for Advective Flow Problems in Multidimensions Based on Combining Godunov-Type Procedures with a Mixed Finite Element Method
Dawson, Clint N.
Time-split methods for multidimensional advection-diffusion equations are considered. In these methods, advection is approximated by a Godunov-type procedure, and diffusion is approximated by a low order mixed finite element method. This approach is currently being used by a number of researchers to model fluid flow. A general methodology is outlined and analyzed, then two particular schemes for calculating advective fluxes are discussed. The first approach is an unsplit, higher-order Godunov method. In this approach, a method of characteristics is used to calculate the advective flux, and time steps larger than a CFL time step are considered. In an appendix, a modification to the first approach that is second order in time is analyzed.
Citable link to this pagehttps://hdl.handle.net/1911/101730
MetadataShow full item record
- CAAM Technical Reports