High Performance Computing Using Out-of- Core Sparse Direct Solvers

نویسندگان

  • Mandhapati P. Raju
  • Siddhartha Khaitan
چکیده

In-core memory requirement is a bottleneck in solving large three dimensional Navier-Stokes finite element problem formulations using sparse direct solvers. Out-of-core solution strategy is a viable alternative to reduce the in-core memory requirements while solving large scale problems. This study evaluates the performance of various out-of-core sequential solvers based on multifrontal or supernodal techniques in the context of finite element formulations for three dimensional problems on a Windows platform. Here three different solvers, HSL_MA78, MUMPS and PARDISO are compared. The performance of these solvers is evaluated on a 64-bit machine with 16GB RAM for finite element formulation of flow through a rectangular channel. It is observed that using out-of-core PARDISO solver, relatively large problems can be solved. The implementation of Newton and modified Newton's iteration is also discussed. Keywords—Out-of-core, PARDISO, MUMPS, Newton.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

New parallel sparse direct solvers for engineering applications

At the heart of many computations in engineering lies the need to efficiently and accurately solve large sparse linear systems of equations. Direct methods are frequently the method of choice because of their robustness, accuracy and their potential for use as black-box solvers. In the last few years, there have been many new developments and a number of new modern parallel general-purpose spar...

متن کامل

New Parallel Sparse Direct Solvers for Multicore Architectures

At the heart of many computations in science and engineering lies the need to efficiently and accurately solve large sparse linear systems of equations. Direct methods are frequently the method of choice because of their robustness, accuracy and potential for use as black-box solvers. In the last few years, there have been many new developments, and a number of new modern parallel general-purpo...

متن کامل

Domain Decomposition Based High Performance Parallel Computing

The study deals with the parallelization of finite element based Navier-Stokes codes using domain decomposition and state-ofart sparse direct solvers. There has been significant improvement in the performance of sparse direct solvers. Parallel sparse direct solvers are not found to exhibit good scalability. Hence, the parallelization of sparse direct solvers is done using domain decomposition t...

متن کامل

Parallel multifrontal method with out-of-core techniques

The memory usage of sparse direct solvers can be the bottleneck to solve large-scale problems. We describe the ongoing work on the implementation of an out-of-core extension to a parallel multifrontal solver (MUMPS). We show that larger problems can be solved on limited-memory machines with reasonable performance, and we illustrate the behaviour of both the parallel out-of-core factorization an...

متن کامل

A priori power estimation of linear solvers on multi-core processors

High-performance computing (HPC) centres simulate complex scientific models which provide vital understanding of our world. In the recent years, power efficiency has become a critical aspect in the new HPC facilities because of high energy consumption costs. In this work, we present our study on power consumption of linear solvers on modern multi-core CPUs which are widely used in many scientif...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009