Quadrilateral Cell-Based Anisotropic Adaptive Solution for the Euler Equations

نویسندگان

  • H. W. Zheng
  • N. Qin
  • F. C. G. A. Nicolleau
  • C. Shu
چکیده

An anisotropic solution adaptive method based on unstructured quadrilateral meshes for inviscid compressible flows is proposed. The data structure, the directional refinement and coarsening, including the method for initializing the refined new cells, for the anisotropic adaptive method are described. It provides efficient high resolution of flow features, which are aligned with the original quadrilateral mesh structures. Five different cases are provided to show that it could be used to resolve the anisotropic flow features and be applied to model the complex geometry as well as to keep a relative high order of accuracy on an efficient anisotropic mesh. AMS subject classifications: 51E12, 65M08, 68U05, 68U20

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

The University of Reading Department

A cell by cell anisotropic adaptive mesh technique is combined with a staggered mesh Lagrange plus remap finite element ALE code for the solution of the Euler equations. The quadrilateral finite elements may be subdivided isotropically or anisotropically in a cell by cell manner. An efficient computational method is proposed, which only solves on the finest level of resolution that exists for e...

متن کامل

Parallel High-Order Anisotropic Block-Based Adaptive Mesh Refinement Finite-Volume Scheme

A novel parallel, high-order, anisotropic, block-based, adaptive mesh re nement (AMR), nite-volume scheme is proposed and developed herein for the numerical solution of physically complex ow problems having disparate spatial and temporal scales, and with strong anisotropic features. A block-based AMR approach is used which permits highly e cient and scalable implementations on parallel computin...

متن کامل

Numerical Solution of Weakly Singular Ito-Volterra Integral Equations via Operational Matrix Method based on Euler Polynomials

Introduction Many problems which appear in different sciences such as physics, engineering, biology, applied mathematics and different branches can be modeled by using deterministic integral equations. Weakly singular integral equation is one of the principle type of integral equations which was introduced by Abel for the first time. These problems are often dependent on a noise source which a...

متن کامل

Adaptive Solution of Steady Two Dimensional Flow on an Unstructured Grid

Two-dimensional Euler equations have been solved on an unstructured grid. An upwind finite volume scheme, based on Roe's flux difference splitting method, is used to discretize the equations. Using advancing front method, an initial Delaunay triangulation has been made. The adaptation procedure involves mesh enrichment coarsening in regions of flow with high low gradients of flow properties, ac...

متن کامل

Adaptive Solution of Steady Two Dimensional Flow on an Unstructured Grid

Two-dimensional Euler equations have been solved on an unstructured grid. An upwind finite volume scheme, based on Roes flux difference splitting method, is used to discretize the equations. Using advancing front method, an initial Delaunay triangulation has been made. The adaptation procedure involves mesh enrichment coarsening in regions of flow with high low gradients of flow properties, acc...

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 2010