The method of Laplace Transform MultiQuadrics (LTMQ) for the solution of the groundwater flow equation

Conference · Mon Jun 01 04:00:00 EDT 1992

OSTI ID:6601528

Moridis, G J ^[1]; Kansa, E ^[2]

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1. Lawrence Berkeley Lab., CA (United States)
2. Lawrence Livermore National Lab., CA (United States)

This paper presents a new numerical method, the Laplace Transform MultiQuadrics (LTMQ) method, developed for the solution of the diffusion-type parabolic Partial Differential Equation (PDE) of fluid flow through porous media. LTMQ combines a MultiQuadrics (MQ) approximation scheme with a Laplace transform formulation. The use of MQ in the spatial approximations allows the accurate description of problems in complex porous media with a very limited number of nodes. The Laplace transform formulation eliminates the need for time discretization, thus allowing an unlimited time step size without any loss of accuracy. LTMQ is tested against results from three test problems of groundwater flow obtained from a standard Finite Difference (FD) model, as well as from analytical solutions. An excellent agreement between the LTMQ and the analytical and FD solutions is observed, while significant reductions in computer execution times may be achieved.

• Research Organization: Lawrence Berkeley Lab., CA (United States)
• Sponsoring Organization: DOE; USDOE, Washington, DC (United States)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 6601528
• Report Number(s): LBL-32529; CONF-9306153--1; ON: DE93010408
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
54 ENVIRONMENTAL SCIENCES
540210 -- Environment
Terrestrial-- Basic Studies-- (1990-)
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLOW MODELS
FLUID FLOW
FLUID MECHANICS
GROUND WATER
HYDROGEN COMPOUNDS
INTEGRAL TRANSFORMATIONS
ITERATIVE METHODS
LAPLACE TRANSFORMATION
MATERIALS
MATHEMATICAL MODELS
MECHANICS
NUMERICAL SOLUTION
OXYGEN COMPOUNDS
PARTIAL DIFFERENTIAL EQUATIONS
POROUS MATERIALS
TRANSFORMATIONS
WATER