Numerical methods of higher-order accuracy for diffusion-convection equations

Conference · Sun Jan 01 00:00:00 EST 1967

OSTI ID:6172293

Price, H S; Cavendish, J C; Varga, R S

A numerical formulation of high-order accuracy, based on variational methods, is proposed for the solution of multi-dimensional diffusion-convection type equations. Accurate solutions are obtained without the difficulties that standard finite difference approximations present. In addition, tests show that very accurate solutions of a one-domensional problem can be obtained in the neighborhood of a sharp front without doing a large number of calculations for the entire region of interest. Results using these variational methods are compared with several standard finite difference approximations and with a technique based on the method of characteristics. The variational methods are shown to yield higher accuracies in less computer time. Finally, it is indicated how one can use these attractive features of the variational methods for solving miscible displacement problems in 2 dimensions. (14 refs.)

• OSTI ID: 6172293
• Resource Relation: Conference: 42. annual SPE of AIME fall meeting, Houston, TX, USA, 1 Oct 1967; Related Information: SPE-1877
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
MISCIBLE-PHASE DISPLACEMENT
NUMERICAL ANALYSIS
OIL WELLS
COMPUTERS
DIFFUSION
ENHANCED RECOVERY
FLUID FLOW
HEAT TRANSFER
MASS TRANSFER
MATHEMATICS
PETROLEUM
TWO-DIMENSIONAL CALCULATIONS
ENERGY SOURCES
ENERGY TRANSFER
FLUID INJECTION
FOSSIL FUELS
FUELS
RECOVERY
WELLS
020300* - Petroleum- Drilling & Production