𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A discrete projection method for incompressible viscous flow with coriolis force

✍ Scribed by Andriy Sokolov; Maxim A. Olshanskii; Stefan Turek

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
701 KB
Volume
197
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis

The paper presents a new discrete projection method for the numerical solution of the Navier-Stokes equations with Coriolis force term. On an algebraic level we interpret one time step of the projection method as an incomplete factorization of the linearized Navier-Stokes system and as the iteration of an Uzawa type algorithm with special preconditioning for the pressure block. This enables us to modify the well-known projection method in a way to account for possibly dominating Coriolis terms. We consider a special multigrid method for solving the velocity subproblems and a modified projection (pressure correction) step. Results of numerical tests are presented for a model problem as well as for 3D flow simulations in stirred tank reactors.

📜 SIMILAR VOLUMES

A Projection Method for Incompressible V
A Projection Method for Incompressible Viscous Flow on Moving QuadrilateralGrids
✍ David P. Trebotich; Phillip Colella 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 360 KB

We present a second-order accurate projection method for numerical solution of the incompressible Navier-Stokes equations on moving quadrilateral grids. Our approach is a generalization of the Bell-Colella-Glaz (BCG) predictor-corrector method for incompressible flow. Irregular geometry is represent

Discrete Compatibility in Finite Differe
Discrete Compatibility in Finite Difference Methods for Viscous Incompressible Fluid Flow
✍ Huaxiong Huang; Brian R. Wetton 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 319 KB

boundary. Recently, this result was improved in [15] to show second-order convergence of solutions including Thom's vorticity condition for solving the incompressible Navier-Stokes equations is generally known as a first-order method since boundary vorticity for the steady Stokes equations using the

A Numerical Method for Solving Incompres
A Numerical Method for Solving Incompressible Viscous Flow Problems
✍ Alexandre Joel Chorin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 286 KB

where R ϭ UD/v is the Reynolds number. Our purpose is to present a finite difference method for solving (1a)-A numerical method for solving incompressible viscous flow problems is introduced. This method uses the velocities and the (1b) in a domain D in two or three space dimensions, with pressure a

Discrete Singular Convolution–Finite Sub
Discrete Singular Convolution–Finite Subdomain Method for the Solution of Incompressible Viscous Flows
✍ Wan, D. C. (author);Patnaik, B. S.V. (author);Wei, G. W. (author) 📂 Article 📅 2002 🏛 Elsevier 🌐 English ⚖ 452 KB

This paper proposes a discrete singular convolution-finite subdomain method (DSC-FSM) for the analysis of incompressible viscous flows in multiply connected complex geometries. The DSC algorithm has its foundation in the theory of distributions. A block-structured grid of fictitious overlapping inte