Research ArticleOpen accessAll words, across the recordA Comparative Study of Block Preconditioners for Incompressible Flow ProblemsJia LiuProblem statement: We consider the numerical solvers for the linearized Navier-Stokes problem. Both the Stokes problem and Oseen problems are considered. Approach: We used the Mark and Cell (MAC) discretization method to discretize the Navier-Stokes equations. We used preconditioned Krylov subspace methods to solve the resulting linear systems. Results: Numerical experimental results are performed to compare the different preconditioners. Conclusion: … …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 14 Sep 2011 · 7,066 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordConservation of “Partial Vorticity” with Application on Hydraulic JumpsHarald NaeserIn two preceding works, the idea of partial conservation theorems was introduced and conservation equations for partial energy and partial angular momentum were established. A similar conservation theorem for partial vorticity of incompressible fluids is established here. The vorticity vector is divided into two elements (both denoted “partial vorticity”) and their conservation equations established separately. They show that, in addition … …American Journal of Applied Sciences, Vol. 2, Issue 8 · 31 Aug 2005 · 6,707 accessesView PDFCite