Efficient Stiff Integration of Density Driven Flow Problems
Please always quote using this URN: urn:nbn:de:0297-zib-70891
- The paper investigates the efficient use of a linearly implicit stiff integrator for the numerical solution of density driven flow problems. Upon choosing a one-step method of extrapolation type (code LIMEX), the use of full Jacobians and reduced approximations are discussed. Numerical experiments include nonlinear density flow problems such as diffusion from a salt dome (2D), a (modified) Elder problem (3D), the saltpool benchmark (3D) and a real life salt dome problem (2D). The arising linear equations are solved using either a multigrid preconditioner from the software package UG4 or the sparse matrix solver SuperLU.
| Author: | Arne Nägel, Peter Deuflhard, Gabriel Wittum |
|---|---|
| Document Type: | ZIB-Report |
| Tag: | linearly implicit Euler discretization; stiff integration for PDEs |
| MSC-Classification: | 65-XX NUMERICAL ANALYSIS / 65Lxx Ordinary differential equations / 65L80 Methods for differential-algebraic equations |
| 65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M20 Method of lines | |
| 65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M55 Multigrid methods; domain decomposition | |
| Date of first Publication: | 2018/11/15 |
| Series (Serial Number): | ZIB-Report (18-54) |
| ISSN: | 1438-0064 |
