Computation of unsteady flows with mixed finite volume/finite element upwind methods

✍ Scribed by Christophe Debiez; Alain Dervieux; Katherine Mer; Boniface Nkonga

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 351 KB
• Volume: 27
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(199801)27:1/4<193::aid-fld659>3.0.co;2-d

✦ Synopsis

We refer to as mixed element/volume (MEV) methods the application of ®nite element for diffusion terms and ®nite volume for advection terms in a ¯ow model. The compatibility of these methods can be checked for some low-order approximations; the resulting schemes may enjoy the relative mesh-regularity-independent accuracy of ®nite element methods as discussed in a ®rst section. In recent years a number of developments (by INRIA Dassault and T. Barth, among others) have produced P1-continuous schemes that involve some MUSCL/TVD unidirectional limitation; the resulting schemes are very useful but sometimes may involve much more numerical viscosity than necessary, especially for unsteady computations. In the present study, a new version is built by using a larger molecule for the intercell ¯ux evaluation. The 1D version can be promoted to fourth-or even ®fthorder spatial accuracy. The 2D version is no better than second-order-accurate; however, it involves only a sixthorder dissipation and the global accuracy is markedly improved even on irregular meshes. The above development extends the ability of the MUSCL/MEV scheme towards the accurate calculation of unsteady ¯ows involving vortex shedding.