NDLI: Operator splitting methods for degenerate convection–diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation

Please wait, while we are loading the content...

Operator splitting methods for degenerate convection–diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation

A mixed finite element method for the solution of the magnetostatic problem with highly discontinuous coefficients in 3D

Part II. Discontinuous Galerkin method applied to a single phase flow in porous media

Unsteady source flow in weakly heterogeneous porous media

Computational Geosciences : Volume 4, Issue 3, October 2000

Computational Geosciences : Volume 4, Issue 2, September 2000

Computational Geosciences : Volume 4, Issue 1, May 2000

Computational Geosciences : Volume 3

Computational Geosciences : Volume 2

Computational Geosciences : Volume 1

Operator splitting methods for degenerate convection–diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation

Content Provider	Springer Nature Link
Author	Holden, Helge Karlsen, Kenneth Hvistendahl Lie, Knut Andreas
Copyright Year	2000
Abstract	We present an accurate numerical method for a large class of scalar, strongly degenerate convection–diffusion equations. Important subclasses are hyperbolic conservation laws, porous medium type equations, two-phase reservoir flow equations, and strongly degenerate equations coming from the recent theory of sedimentation–consolidation processes. The method is based on splitting the convective and the diffusive terms. The nonlinear, convective part is solved using front tracking and dimensional splitting, while the nonlinear diffusion part is solved by an implicit–explicit finite difference scheme. In addition, one version of the implemented operator splitting method has a mechanism built in for detecting and correcting unphysical entropy loss, which may occur when the time step is large. This mechanism helps us gain a large time step ability for practical computations. A detailed convergence analysis of the operator splitting method was given in Part I. Here we present numerical experiments with the method for examples modelling secondary oil recovery and sedimentation–consolidation processes. We demonstrate that the splitting method resolves sharp gradients accurately, may use large time steps, has first order convergence, exhibits small grid orientation effects, has small mass balance errors, and is rather efficient.
Starting Page	287
Ending Page	322
Page Count	36
File Format	PDF
ISSN	14200597
Journal	Computational Geosciences
Volume Number	4
Issue Number	4
e-ISSN	15731499
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2000-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Hydrogeology Geotechnical Engineering Mathematical Modeling and Industrial Mathematics Soil Science & Conservation
Content Type	Text
Resource Type	Article
Subject	Computers in Earth Sciences Computational Theory and Mathematics Computer Science Applications Computational Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Operator splitting methods for degenerate convection-diffusion equations II: Numerical examples with emphasis on reservoir simulation and sedimentation (1999)

Operator Splitting Methods for Degenerate Convection-Diffusion Equations II: Numerical Examples with Emphasis on Reservoir Simulation and Sedimentation (1999)

Operator splitting methods for degenerate convection-diffusion equations II: Numerical examples with emphasis on reservoir simulation and sedimentation (2000)

Operator splitting methods for degenerate convection-diffusion equations II: Numerical examples with emphasis on reservoir simulation and sedimentation (2000)

A Posteriori Error Estimates for Finite Volume Element Approximations of Convection–Diffusion–Reaction Equations

A fast marching method for reservoir simulation

Modelling in-situ upgrading of heavy oil using operator splitting method

Mimetic Finite Difference Methods for Diffusion Equations

A backward automatic differentiation framework for reservoir simulation

Operator splitting methods for degenerate convection–diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation

Similar Documents

Operator splitting methods for degenerate convection-diffusion equations II: Numerical examples with emphasis on reservoir simulation and sedimentation (1999)

Operator Splitting Methods for Degenerate Convection-Diffusion Equations II: Numerical Examples with Emphasis on Reservoir Simulation and Sedimentation (1999)

Operator splitting methods for degenerate convection-diffusion equations II: Numerical examples with emphasis on reservoir simulation and sedimentation (2000)

Operator splitting methods for degenerate convection-diffusion equations II: Numerical examples with emphasis on reservoir simulation and sedimentation (2000)

A Posteriori Error Estimates for Finite Volume Element Approximations of Convection–Diffusion–Reaction Equations

A fast marching method for reservoir simulation

Modelling in-situ upgrading of heavy oil using operator splitting method

Mimetic Finite Difference Methods for Diffusion Equations

A backward automatic differentiation framework for reservoir simulation

Operator splitting methods for degenerate convection–diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation