نتایج جستجو برای: alternating direction implicit adi method

تعداد نتایج: 1806048  

2007
SILVIA V. VERONESE

This paper describes the implementation of a solver for systems of semi-linear parabolic partial di erential equations in two and three space dimensions. The solver is based on a parallel implementation of a non-linear Alternating Direction Implicit (ADI) scheme which uses a Cartesian grid in space and an implicit time-stepping algorithm. Various reordering strategies for the linearized equatio...

Journal: :Applied sciences 2022

Ground Penetrating Radar (GPR) is a shallow geophysical method for detecting and locating subsurface targets. The GPR image echo characteristics of complex underground structures can be obtained by carrying out forward modeling research. traditional finite-difference time-domain (FDTD) has low efficiency accuracy. alternating direction implicit FDTD (ADI-FDTD) algorithm surmounts the stability ...

Journal: :SIAM J. Scientific Computing 1998
Tarek P. Mathew Peter L. Polyakov Giovanni Russo Junping Wang

We study domain decomposition counterparts of the classical alternating direction implicit (ADI) and fractional step (FS) methods for solving the large linear systems arising from the implicit time stepping of parabolic equations. In the classical ADI and FS methods for parabolic equations, the elliptic operator is split along coordinate axes; they yield tridiagonal linear systems whenever a un...

1998
ZHILIN LI

In this paper, some new approaches are proposed for moving boundary/interface problems, particularly for the Stefan problems and the problem of unstable crystal growth. We will focus on the issues of accuracy and speed-up. A modiied Crank-Nicolson method which is second order accurate and stable is developed. The ADI (alternating implicit directional method) is also developed to speed up the si...

2010
GARRETT BIRKHOFF RICHARD S. VARGA

in general plane regions and with respect to linear boundary conditions, is a classical problem of numerical analysis. Many such boundary value problems have been solved successfully on high-speed computing machines, using the (iterative) Young-Frankel "successive overrelaxation" (SOR) method as defined in [l] and [2], and variants thereof ("line" and "block" overrelaxation). For this method, e...

1997
Angela Kunoth

For the approximate representation of large data sets over a parameter domain in IR2, many geological and other applications require the construction of surfaces which have minimal energy, i.e., minimal curvature. One way to achieve this is by solving a fourth order elliptic partial di erential equation. Its discretization by a di erence scheme makes it particularly easy to incorporate (appropr...

2005
Heng Zhang Wu Zhang

The numerical solution of the time-dependent neutron transport problem in 2-D Cartesian geometry is considered. The problem is described by a coupled system of hyperbolic partial differential equations with the parameters of multiple groups. The system, for given group parameter, is discretized by a discrete ordinate method (SN) in angular direction and adaptive spline wavelet method with alter...

2016
LUKE EDWARDS Anna L. Mazzucato Victor Nistor

This article describes the derivation and implementation of a numerical method to solve constant-coefficient, parabolic partial differential equations in two space dimensions on rectangular domains. The method is based on a formula for the Green’s function for the problem obtained via reflections at the boundary of the domain from the corresponding formula for the fundamental solution in the wh...

ژورنال: مهندسی دریا 2010
عزیزی قناد, فرزاد, محمدی عراق, مهدی, وفایی, فریدون,

Nowadays oil spill are one of the most important problem in the humans life. Usually advection and dispersion occur because of chemicals, physicals and biological processes that related by properties of oil and other things. These processes are evaporation, dispersion and so on. When oil spills on the sea, it is extended and made oil slick. Increasing these kinds of events cause developing many...

Mohsen Naghibi Morteza Kolahdouzan

A two-dimensional two-phase numerical model is developed to predict transport and fate of oil slicks which resulted the concentration distribution of oil on the water surface. Two dimensional governing equation of fluid flow which consists mass and momentum conservation was solved using the finite difference method on the structured staggered grid system. The resulted algebric equations were so...

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