Characteristic fractional step finite difference method for nonlinear section coupled system

For the section coupled system of multilayer dynamics of fluids in porous media, a parallel scheme modified by the characteristic finite difference fractional steps is proposed for a complete point set consisting of coarse and fine partitions. Some tech- niques, such as calculus of variations, energ...

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Bibliographic Details
Published inApplied mathematics and mechanics Vol. 35; no. 10; pp. 1311 - 1330
Main Author 袁益让 李长峰 孙同军 刘允欣
Format Journal Article
LanguageEnglish
Published Heidelberg Shanghai University 01.10.2014
Subjects
Applications of Mathematics
Classical Mechanics
Dynamical systems
Estimates
Finite difference method
Fluid- and Aerodynamics
Joining
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nonlinear dynamics
Nonlinearity
Operators
Partial Differential Equations
76M25
O241.82 2000 Mathematics Subject Classification 65M06
characteristic fractional step
convergence
76S05
three-dimensional section coupled system
complete nonlinear equation
numerical simulation
65N30
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Summary:For the section coupled system of multilayer dynamics of fluids in porous media, a parallel scheme modified by the characteristic finite difference fractional steps is proposed for a complete point set consisting of coarse and fine partitions. Some tech- niques, such as calculus of variations, energy method, twofold-quadratic interpolation of product type, multiplicative commutation law of difference operators, decomposition of high order difference operators, and prior estimates, are used in theoretical analysis. Optimal order estimates in 12 norm are derived to show accuracy of the second order approximation solutions. These methods have been used to simulate the problems of migration-accumulation of oil resources.
Bibliography:three-dimensional section coupled system, complete nonlinear equation,characteristic fractional step, convergence, numerical simulation
31-1650/O1
Yi-rang YUAN , Tong-jun SUN, Chang-feng LI , Yun-xin LIU （1. Institute of Mathematics, Shandong University, Jinan 250100, P. R. China; 2. School of Economics, Shandong University, Jinan 250100, P. R. China）
For the section coupled system of multilayer dynamics of fluids in porous media, a parallel scheme modified by the characteristic finite difference fractional steps is proposed for a complete point set consisting of coarse and fine partitions. Some tech- niques, such as calculus of variations, energy method, twofold-quadratic interpolation of product type, multiplicative commutation law of difference operators, decomposition of high order difference operators, and prior estimates, are used in theoretical analysis. Optimal order estimates in 12 norm are derived to show accuracy of the second order approximation solutions. These methods have been used to simulate the problems of migration-accumulation of oil resources.
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-014-1866-9