Name
Title | ||
|---|---|---|
An efficient numerical method for the equations of steady and unsteady flows of homogeneous incompressible Newtonian fluid |
Abstract | ||
|---|---|---|
In the present paper, we present some numerical methods to solve the equations of steady and unsteady flows, such as those in the microcirculatory bed and large blood vessels (arteries and veins), respectively. In the case of steady flows, the method does not need neither any boundary conditions on pressure nor any small parameter, and the main computation consists of solving some Poisson equations. In the case of unsteady flows, the scheme uses a consistent Neumann boundary condition for the pressure Poisson equation. At each time step, a Poisson and heat equation are solved for the pressure and each velocity component, respectively. The accuracy and efficiency of scheme are checked by a set of numerical tests. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.jcp.2010.10.002 | J. Comput. Physics |
Keywords | Field | DocType |
efficient numerical method,finite element method,consistent neumann boundary condition,splitting scheme,boundary condition,steady flow,incompressible flow,unsteady flow,poisson equation,heat equation,numerical method,numerical test,present paper,navier–stokes equations,stokes equations,pressure poisson equation,stokes equation,neumann boundary condition | Boundary value problem,Poisson's equation,Mathematical analysis,Heat equation,Neumann boundary condition,Numerical analysis,Stokes flow,Mathematics,Pressure-correction method,Navier–Stokes equations | Journal |
Volume | Issue | ISSN |
230 | 3 | Journal of Computational Physics |
Citations | PageRank | References |
1 | 0.45 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhiqiang Sheng | 1 | 129 | 14.39 |
| Marc Thiriet | 2 | 2 | 1.84 |
| Frederic Hecht | 3 | 1 | 0.45 |