A dual-time method for two-dimensional unsteady incompressible flow calculations

✍ Scribed by Ann L. Gaitonde

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 219 KB
• Volume: 41
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19980330)41:6<1153::aid-nme334>3.0.co;2-9

✦ Synopsis

A method for computing unsteady incompressible viscous ows on moving or deforming meshes is described. It uses a well-established time-marching ÿnite-volume ow solver, developed for steady compressible ows past rigid bodies. Time-marching methods cannot be applied directly to incompressible ows because the governing equations are not hyperbolic. Such methods can be extended to steady incompressible ows using an artiÿcial compressibility scheme. A time-accurate scheme for unsteady incompressible ows is achieved by using an implicit real-time discretization and a dual-time approach, which uses a technique similar to the artiÿcial compressibility scheme. Results are presented for test cases on both ÿxed and deforming meshes. Experimental, numerical and theoretical data have been included for comparison where available and reasonable agreement has been achieved. ?