Adaptive mesh refinement on moving quadrilateral grids

Conference · Sat Apr 01 04:00:00 EST 1989

DOI:https://doi.org/10.2514/6.1989-1979· OSTI ID:6141037

Bell, J. B.; Colella, P.; Trangenstein, J. A.; Welcome, M.

This paper describes an adaptive mesh refinement algorithm for unsteady gas dynamics. The algorithm is based on an unsplit, second-order Godunov integration scheme for logically-rectangular moving quadrilateral grids. The integration scheme is conservative and provides a robust, high resolution discretization of the equations of gas dynamics for problems with strong nonlinearities. The integration scheme is coupled to a local adaptive mesh refinement algorithm that dynamically adjusts the location of refined grid patches to preserve the accuracy of the solution, preserving conservation at interfaces between coarse and fine grids while adjusting the geometry of the fine grids so that grid lines remain smooth under refinement. Numerical results are presented illustrating the performance of the algorithm. 5 refs., 3 figs.

• Research Organization: Lawrence Livermore National Lab., CA (USA)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6141037
• Report Number(s): UCRL-100880; CONF-8906111-2; ON: DE89010241
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS
990220 -- Computers
Computerized Models
& Computer Programs-- (1987-1989)
ALGORITHMS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FINITE DIFFERENCE METHOD
FLUID FLOW
GAS FLOW
ITERATIVE METHODS
MATHEMATICAL LOGIC
MESH GENERATION
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SHOCK WAVES