Name
Title | ||
|---|---|---|
A fully second order implicit/explicit time integration technique for hydrodynamics plus nonlinear heat conduction problems |
Abstract | ||
|---|---|---|
We present a fully second order implicit/explicit time integration technique for solving hydrodynamics coupled with nonlinear heat conduction problems. The idea is to hybridize an implicit and an explicit discretization in such a way to achieve second order time convergent calculations. In this scope, the hydrodynamics equations are discretized explicitly making use of the capability of well-understood explicit schemes. On the other hand, the nonlinear heat conduction is solved implicitly. Such methods are often referred to as IMEX methods [2,1,3]. The Jacobian-Free Newton Krylov (JFNK) method (e.g. [10,9]) is applied to the problem in such a way as to render a nonlinearly iterated IMEX method. We solve three test problems in order to validate the numerical order of the scheme. For each test, we established second order time convergence. We support these numerical results with a modified equation analysis (MEA) [21,20]. The set of equations studied here constitute a base model for radiation hydrodynamics. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.jcp.2009.12.039 | J. Comput. Physics |
Keywords | Field | DocType |
well-understood explicit scheme,nonlinear heat conduction,order time convergence,hydrodynamics equation,hydrodynamics,order time convergent calculation,explicit time integration technique,nonlinear heat conduction problem,radiation hydrodynamics,explicit discretization,implicit/explicit algorithm,numerical order,imex method,heat conduction,second order | Convergence (routing),Newton–Krylov method,Discretization,Mathematical optimization,Nonlinear system,Explicit time integration,Radiation hydrodynamics,Mathematical analysis,Thermal conduction,Iterated function,Mathematics | Journal |
Volume | Issue | ISSN |
229 | 9 | Journal of Computational Physics |
Citations | PageRank | References |
8 | 0.83 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Samet Y. Kadioglu | 1 | 39 | 4.94 |
| Dana A. Knoll | 2 | 76 | 11.82 |