Time integration and conjugate gradient methods for the incompressible Navier-Stokes equations

Conference · Tue Dec 31 23:00:00 EST 1985

OSTI ID:5868890

Gresho, P M

This paper addresses one class of iterative methods that are promising for cost effective Navier-Stokes simulations. The approach is based on the conjugate gradient (CG) method for solving linear algebraic systems with a symmetric positive-definite (SPD) matrix. These methods have many important characteristics: monotone convergence (in an appropriate error norm), optimal error minimization, finite termination, the direct exploitation of sparseness in the matrix, and no need to estimate ''iteration parameters.'' 46 refs., 1 tab. (DWL)

• Research Organization: Lawrence Livermore National Lab., CA (USA)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 5868890
• Report Number(s): UCRL-94000; CONF-860681-1; ON: DE86007177
• Country of Publication: United States
• Language: English

Related Subjects

658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
DIFFERENTIAL EQUATIONS
EQUATIONS
FINITE DIFFERENCE METHOD
FINITE ELEMENT METHOD
ITERATIVE METHODS
MATRICES
MECHANICAL STRUCTURES
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS