Preconditioner updates applied to CFD model problems
نویسندگان
چکیده
منابع مشابه
Preconditioner Updates Applied to CFD Model Problems
This paper deals with solving sequences of nonsymmetric linear systems with a block structure arising from compressible flow problems. The systems are solved by a preconditioned iterative method. We attempt to improve the overall solution process by sharing a part of the computational effort throughout the sequence. Our approach is fully algebraic and it is based on updating preconditioners by ...
متن کاملA matrix-free preconditioner applied to CFD
We consider the implicit time integration of the compressible Navier-Stokes equations. Each implicit step involves the solution of a costly non linear system. In this paper, we deene a preconditioner to solve each linear system more cheaply within the framework of matrix-free algorithm. The main idea is to reuse the Krylov subspace across the time steps. We demonstrate some properties of the pr...
متن کاملAn Algebraic Multilevel Parallelizable Preconditioner for Large-Scale CFD Problems
An eecient parallelizable preconditioner for solving large-scale CFD problems is presented. It is adapted to coarse-grain parallelism and can be used for both shared and distributed-memory parallel computers. The proposed preconditioner consists of two independent approximations of the system matrix. The rst one is a block-diagonal, fully paralleliz-able approximation of the given system. The s...
متن کاملEfficient Preconditioner Updates for Shifted Linear Systems
We present a new technique for building effective and low cost preconditioners for sequences of shifted linear systems (A + αI)xα = b, where A is symmetric positive definite and α > 0. This technique updates a preconditioner for A, available in the form of an LDLT factorization, by modifying only the nonzero entries of the L factor in such a way that the resulting preconditioner mimics the diag...
متن کاملStochastic model reduction applied to inverse problems
This article describes the use of Gaussian Processes in model reduction techniques with application to inverse problems. Mainly, the work is focused on the proper construction of the model approximation, namely on training process based on minimal number of learning samples, by making use of automatic samples selection through computed standard deviation of model prediction. An example of appli...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Numerical Mathematics
سال: 2008
ISSN: 0168-9274
DOI: 10.1016/j.apnum.2007.10.001