Implicit-explicit hybrid method for Lagrangian hydrodynamics

Journal Article · Tue Apr 01 04:00:00 EST 1986 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(86)90195-6· OSTI ID:5795640

Fryxell, B A; Woodward, P R; Colella, P; Winkler, K

We describe a new implicit-explicit hybrid method for solving the equations of hydrodynamics. The scheme is an extension of the explicit second-order piecewise-parabolic method (PPM) which is unconditionally stable. The scheme is thus of the Godunov type. It is conservative, accurate to second order in both space and time, and makes use of a nonlinear Riemann solver to obtain fluxes of the conserved quantities. The hybrid character of the method provides increased accuracy and computational efficiency. Switching between implicit and explicit formulations occurs smoothly and in a natural way and is performed separately for each characteristic family of waves. The method provides high resolution with shocks spread over only one zone and can produce accurate answers to most reasonable problems without the use of an artificial viscosity.

• Research Organization: Lick Observatory/Board of Studies in Astronomy and Astrophysics, University of California, Santa Cruz, California 95064
• DOE Contract Number: AC03-76SF00098; W-7405-ENG-48
• OSTI ID: 5795640
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 63:2; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ACCURACY
FLUID FLOW
FLUID MECHANICS
FUNCTIONS
HYDRODYNAMICS
LAGRANGIAN FUNCTION
MECHANICS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
SHOCK TUBES
UNSTEADY FLOW