Quality factors and local adaption (with applications in Eulerian hydrodynamics)
Adapting the mesh to suit the solution is a technique commonly used for solving both ode's and pde's. For Lagrangian hydrodynamics, ALE and Free-Lagrange are examples of structured and unstructured adaptive methods. For Eulerian hydrodynamics the two basic approaches are the macro-unstructuring technique pioneered by Oliger and Berger and the micro-structuring technique due to Lohner and others. Here we will describe a new micro-unstructuring technique, LAM, (for Local Adaptive Mesh) as applied to Eulerian hydrodynamics. The LAM technique consists of two independent parts: (1) the time advance scheme is a variation on the artificial viscosity method; (2) the adaption scheme uses a micro-unstructured mesh with quadrilateral mesh elements. The adaption scheme makes use of quality factors and the relation between these and truncation errors is discussed. The time advance scheme; the adaption strategy; and the effect of different adaption parameters on numerical solutions are described.
- Research Organization:
- Lawrence Livermore National Lab., CA (United States)
- Sponsoring Organization:
- USDOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 6551547
- Report Number(s):
- UCRL-JC-110862; CONF-9206185-12; ON: DE93010502
- Resource Relation:
- Conference: 7. International Association of Mathematics and Computer Simulation (IMACS) international conference on computer methods for partial differential equations, New Brunswick, NJ (United States), 22-24 Jun 1992
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
HYDRODYNAMICS
MESH GENERATION
LAGRANGIAN FUNCTION
PARTIAL DIFFERENTIAL EQUATIONS
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
VISCOSITY
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID MECHANICS
FUNCTIONS
MECHANICS
661300* - Other Aspects of Physical Science- (1992-)
990200 - Mathematics & Computers