Multigrid Applied to Implicit Well Problems
نویسنده
چکیده
This paper discusses the application of multigrid techniques to the solution of implicit well equations, which arise in the numerical simulation of oil reservoirs. The emphasis is on techniques which can exploit parallel computation.
منابع مشابه
A p-Multigrid Spectral Difference method for viscous compressible flow using 2D quadrilateral meshes
The work focuses on the development of a 2D quadrilateral element based Spectral Difference solver for viscous flow calculations, and the application of the p-multigrid method and implicit time-stepping to accelerate convergence. This paper extends the previous work by Liang et al (2009) on the p-multigrid method for 2D inviscid compressible flow, to viscous flows. The high-order spectral diffe...
متن کاملMultigrid and Multilevel Methods in Science and Engineering
The fundamental idea behind all multigrid methods is to compute using diierent scales in order to obliterate error components of diierent scales. Error components can be thought of as waves. A long wave, which has low frequency, on one grid is a short wave, or high frequency, on a coarse enough related grid. A number of iterative methods (e.g., relaxation and alternating direction implicit meth...
متن کاملMultigrid Preconditioning Methods for an Implicit Jacobian-Free Newton-Krylov Two-Fluid Kinetic Plasma Solver
Plasma is a state of matter in which a collection of atoms have dissociated into their constituent ions and electrons. The availability of this free charge allows the plasma to interact with electromagnetic fields. The fields dictate the motion of the particles and, simultaneously, the motion of the particles alter the fields. This strongly coupled, self-consistent interaction supports a large ...
متن کاملFast preconditioned multigrid solution of the Euler and Navier-Stokes equations for steady, compressible flows
New versions of implicit algorithms are developed for the e cient solution of the Euler and Navier– Stokes equations of compressible ow. The methods are based on a preconditioned, lower-upper (LU) implementation of a non-linear, symmetric Gauss-Seidel (SGS) algorithm for use as a smoothing algorithm in a multigrid method. Previously, this method had been implemented for ows in quasi-onedimensio...
متن کاملFast Solvers and Efficient Numerical Cfd Techniques for Dynamic Porous Media Problems
Abstract. We present a fully implicit, monolithic finite element solution scheme to efficiently solve the governing set of differential algebraic equations of incompressible poroelastodynamics. Thereby, we proceed from a two-dimensional, biphasic, saturated porous medium model with intrinsically coupled and incompressible solid and fluid constituents. Our approach, motivated by well-accepted CF...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1996