𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A method for obtaining benchmark Navier–Stokes solutions

✍ Scribed by Michael C. Wendl

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
48 KB
Volume
31
Category
Article
ISSN
0271-2091

No coin nor oath required. For personal study only.

✦ Synopsis

A refinement to an established method for obtaining benchmark Navier -Stokes solutions is presented. Pressure and body forces are derived explicitly such that the momentum equations are satisfied. The problem is reduced to determining a streamfunction in separation of variables form that describes a desired flow pattern. Examples based upon the well-known shear flow cavity are presented.

📜 SIMILAR VOLUMES

The fundamental solution method for inco
The fundamental solution method for incompressible Navier–Stokes equations
✍ Yang Zuosheng 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 70 KB 👁 2 views

A complete boundary integral formulation for incompressible Navier -Stokes equations with time discretization by operator splitting is developed using the fundamental solutions of the Helmholtz operator equation with different order. The numerical results for the lift and the drag hysteresis associa

A matrix-free preconditioned Newton/GMRE
A matrix-free preconditioned Newton/GMRES method for unsteady Navier–Stokes solutions
✍ Ning Qin; David K. Ludlow; Scott T. Shaw 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 287 KB

The unsteady compressible Reynolds-averaged Navier -Stokes equations are discretized using the Osher approximate Riemann solver with fully implicit time stepping. The resulting non-linear system at each time step is solved iteratively using a Newton/GMRES method. In the solution process, the Jacobia

Algebraic multigrid methods for the solu
Algebraic multigrid methods for the solution of the Navier–Stokes equations in complicated geometries
✍ Michael Griebel; Tilman Neunhoeffer; Hans Regler 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 400 KB 👁 1 views

The application of standard multigrid methods for the solution of the Navier±Stokes equations in complicated domains causes problems in two ways. First, coarsening is not possible to full extent since the geometry must be resolved by the coarsest grid used. Second, for semi-implicit time-stepping sc

Finite element modified method of charac
Finite element modified method of characteristics for the Navier–Stokes equations
✍ Alejandro Allievi; Rodolfo Bermejo 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 397 KB 👁 1 views

An algorithm based on the finite element modified method of characteristics (FEMMC) is presented to solve convection-diffusion, Burgers and unsteady incompressible Navier -Stokes equations for laminar flow. Solutions for these progressively more involved problems are presented so as to give numerica