𝔖 Bobbio Scriptorium
✦   LIBER   ✦

ITERATIVE SOLUTION OF INCOMPRESSIBLE NAVIER–STOKES EQUATIONS ON THE MEIKO COMPUTING SURFACE

✍ Scribed by B. A. TANYI; R. W. THATCHER

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
839 KB
Volume
22
Category
Article
ISSN
0271-2091

No coin nor oath required. For personal study only.

✦ Synopsis

The numerical discretization of the equations governing fluid flow results in coupled, quasi-linear and nonsymmetric systems. Various approaches exist for resolving the non-linearity and couplings. During each non-linear iteration, nominally linear systems are solved for each of the flow variables. Line relaxation techniques are traditionally employed for solving these systems. However, they could be very expensive for realistic applications and present serious synchronization problems in a distributed memory parallel environment. In this paper the discrete linear systems are solved using the generalized conjugate gtadient method of Concus and Golub. The performance of this algorithm is compared with the line Gauss-Seidel algorithm for laminar recirculatory flow in uni-and multiprocessor environments. The uniprocessor performances of these algorithms are also compared with that of a popular iterative solver for non-symmetric systems (the Gh4RES algorithm).

📜 SIMILAR VOLUMES

Parallel Multigrid Computation of the Un
Parallel Multigrid Computation of the Unsteady Incompressible Navier–Stokes Equations
✍ A.T. Degani; G.C. Fox 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 536 KB

ment is satisfied but not the second, is in the solution of the two-dimensional Poisson equation using the Gauss-Seidel Parallel computation on distributed-memory machines offers the capability of a scalable approach to the solution of large CFD prob-method. With a red-black ordering scheme and a bl

An iterative solver for the Oseen proble
An iterative solver for the Oseen problem and numerical solution of incompressible Navier–Stokes equations
✍ Maxim A. Olshanskii 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 136 KB 👁 2 views

Incompressible unsteady Navier-Stokes equations in pressure -velocity variables are considered. By use of the implicit and semi-implicit schemes presented the resulting system of linear equations can be solved by a robust and efficient iterative method. This iterative solver is constructed for the s

Solution of the discretized incompressib
Solution of the discretized incompressible Navier-Stokes equations with the GMRES method
✍ C. Vuik 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 753 KB

We describe some experiences using iterative solution methods of GMRES type to solve the discretized Navier-Stokes equations. The discretization combined with a pressure correction scheme leads to two different systems of equations: the momentum equations and the pressure equation. It appears that a

Solution of the incompressible Navier–St
Solution of the incompressible Navier–Stokes equations on domains with one or several open boundaries
✍ F. Bertagnolio 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 416 KB 👁 2 views

The aim of this paper is to develop a methodology for solving the incompressible Navier -Stokes equations in the presence of one or several open boundaries. A new set of open boundary conditions is first proposed. This has been developed in the context of the velocity -vorticity formulation, but it