Name
Abstract | ||
|---|---|---|
Plane stagnation point flow is one of a small class of problems for which a self-similar solution of the incompressible Navier-Stokes equations exists. The self-similar solution and its derivatives can be expressed in terms of the solution of a transformed problem comprising a partially coupled system of quasilinear ordinary differential equations defined on a semi-infinite interval. In this paper a novel iterative numerical method for the solution of the transformed problem is described and used to compute numerical approximations to the self-similar solution and derivatives. The numerical method is layer-resolving which means that for each of the components, error bounds of the form CpN-p can be calculated where Cp and p are independent of the Reynolds number, showing that these numerical approximations are of controllable accuracy. |
Year | Venue | Keywords |
|---|---|---|
2000 | NAA | robust layer-resolving numerical method,quasilinear ordinary differential,numerical method,novel iterative numerical method,numerical approximation,self-similar solution,plane stagnation point flow,form cpn-p,error bound,reynolds number,controllable accuracy,ordinary differential equation |
Field | DocType | Volume |
Differential equation,Order of accuracy,Ordinary differential equation,Iterative method,Mathematical analysis,Stagnation point,Local convergence,Numerical analysis,Numerical stability,Mathematics | Conference | 1988 |
ISSN | ISBN | Citations |
0302-9743 | 3-540-41814-8 | 0 |
PageRank | References | Authors |
0.34 | 1 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| John J. H. Miller | 1 | 5 | 3.12 |
| Alison P. Musgrave | 2 | 0 | 0.34 |
| Grigorii I. Shishkin | 3 | 52 | 15.80 |