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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.

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Metadaten
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
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