Operator splitting methods for degenerate convection–diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation
نویسندگان
چکیده
Helge Holden a, Kenneth Hvistendahl Karlsen b and Knut-Andreas Lie c a Department of Mathematical Sciences, Norwegian University of Science and Technology, N-7491 Trondheim, Norway E-mail: [email protected] b Department of Mathematics, University of Bergen, Johs. Brunsgt. 12, N-5008 Bergen, Norway E-mail: [email protected] c Department of Informatics, University of Oslo, P.O. Box 1080 Blindern, N-0316 Oslo, Norway E-mail: [email protected]
منابع مشابه
Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations
We rst analyse a semi-discrete operator splitting method for nonlinear, possibly strongly degenerate, convection-diiusion equations. Due to strong degeneracy, solutions can be discontinuous and are in general not uniquely determined by their data. Hence weak solutions satisfying an entropy condition are sought. We then propose and analyse a fully discrete splitting method which employs a front ...
متن کاملNumerical Solution of Reservoir Flow Models Based Onlarge Time Step Operator Splitting
During recent years the authors and collaborators have been involved in an activity related to the construction and analysis of large time step operator splitting algorithms for the numerical simulation of multi-phase ow in heterogeneous porous media. The purpose of these lecture notes is to review some of this activity. We illustrate the main ideas behind these novel operator splitting algorit...
متن کاملOn Splitting-Based Numerical Methods for Convection-Diffusion Equations
Convection-diffusion equations model a variety of physical phenomena. Computing solutions of these equations is an important and challenging problem, especially in the convection dominated case, in which viscous layers are so thin that one is forced to use underresolved methods that may be unstable. If an insufficient amount of physical diffusion is compensated by an excessive numerical viscosi...
متن کاملOperator-splitting Methods Respecting Eigenvalue Problems for Convection-diffusion and Wave Equations
We discuss iterative operator-splitting methods for convection-diffusion and wave equations motivated from the eigenvalue problem to decide the splitting process. The operator-splitting methods are well-know to solve such complicated multi-dimensional and multi-physical problems. Often the problem, how to decouple the underlying operators, is not understood well enough. We propose a method base...
متن کاملA Filtering technique for System of Reaction Diffusion equations
We present here a fast parallel solver designed for a system of reaction convection diffusion equations. Typical applications are large scale computing of air quality models or numerical simulation of population models where several colonies compete. Reaction-Diffusion systems can be integrated in time by point-wise Newton iteration when all space dependent terms are explicit in the time integr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999