Parallel Iterative and Direct Methods for Transport Calculations on Unstructured Grids

نویسندگان

  • Shawn P. Burns
  • Kent G. Budge
  • Mark A. Christon
چکیده

Two alternative approaches to the solution of discrete ordinate transport are considered in the context of general unstructured grids. The more traditional approach considered is the solution of a lower triangular system of equations for the spatial intensity distribution. Alternatively, the iterative solution of the system of equations arising from a more general diierencing stencil is also considered. Advantages and disadvantages are considered for both sequential implementation and for spatial domain based parallelism.

برای دانلود رایگان 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

Parallel multilevel iterative linear solvers with unstructured adaptive grids for simulations in earth science

In many large-scale scientific simulation codes, the majority of computation is devoted to linear solvers. Preconditioned Krylov iterative solver such as conjugate gradient method with incomplete Cholesky factorization preconditioning (ICCG) provides robust convergence for a wide range of scientific applications. Incomplete Cholesky (IC) and incomplete LU (ILU) factorizations involve globally d...

متن کامل

Automatic domain decomposition on unstructured grids (DOUG)

This paper describes a parallel iterative solver for nite element discretisations of elliptic partial diierential equations on 2D and 3D domains using unstructured grids. The discretisation of the PDE is assumed to be given in the form of element stiiness matrices and the solver is automatic in the sense that it requires minimal additional information about the PDE and the geometry of the domai...

متن کامل

Parallel Sn Sweeps on Unstructured Grids: Algorithms for Prioritization, Grid Partitioning, and Cycle Detection

The method of discrete ordinates is commonly used to solve the Boltzmann transport equation. The solution in each ordinate direction is most efficiently computed by sweeping the radiation flux across the computational grid. For unstructured grids this poses many challenges, particularly when implemented on distributed-memory parallel machines where the grid geometry is spread across processors....

متن کامل

Parallel Iterative Solvers for Unstructured Grids Using an OpenMP/MPI Hybrid Programming Model for the GeoFEM Platform on SMP Cluster Architectures

An efficient parallel iterative method for unstructured grids developed by the authors for SMP cluster architectures on the GeoFEM platform is presented. The method is based on a 3-level hybrid parallel programming model, including message passing for inter-SMP node communication, loop directives by OpenMP for intra-SMP node parallelization and vectorization for each processing element (PE). Si...

متن کامل

A Paradigm for Parallel Unstructured Grid Generation

In this paper, a sequential 2D unstructured grid generator based on iterative point insertion and local reconnection is coupled with a Delauney tessellation domain decomposition scheme to create a scalable parallel unstructured grid generator. The Message Passing Interface (MPI) is used for distributed communication in the parallel grid generator. This work attempts to provide a generic framewo...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1999