Solving pdes in complex geometries

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multidomain Local Fourier Method for PDEs in Complex Geometries

but with higher frequencies and amplitudes of the oscillating components), only a low accuracy can be achieved after an aaordable number of PCG iterations. The reason is that a strip-wise domain decomposition cannot handle large changes in non-constant coeecients in the lengthwise direction (see explanation at the end of section (5.1)). More general domain decompositions in the form of rectangu...

متن کامل

Application of the Schwarz-Christoffel Transformation in Solving Two-Dimensional Turbulent Flows in Complex Geometries

In this paper, two-dimensional turbulent flows in different and complex geometries are simulated by using an accurate grid generation method. In order to analyze the fluid flow, numerical solution of the continuity and Navier-Stokes equations are solved using CFD techniques. Considering the complexity of the physical geometry, conformal mapping is used to generate an orthogonal grid by means of...

متن کامل

Fast algorithms for PDEs in simple and complex geometries

We review some fast and accurate numerical techniques for solving elliptic equations in complicated domains developed by the author and his colleagues in recent past. These are based on a combination of fast algorithms for regular domains and various domain embedding techniques. The fast algorithms for regular domains are derived from analysis of integral equation approach for solving elliptic ...

متن کامل

Parallelism in Solving PDEs

This paper examines the potential of parallel computation methods for partial differential equations (PDEs). We first observe that linear algebra does not give the best data structures for exploiting parallelism in solving PDEs, the data structures should be based on the physical geometry. There is a naturally high level of parallelism in the physical world to be exploited and we show there is ...

متن کامل

Solving Hyperbolic PDEs in Matlab

and we allow general boundary conditions. Solving PDEs of this generality is not routine and the success of our software is not assured. On the other hand, it is very easy to use and has performed well on a wide variety of problems. Explicit central finite difference methods are quite attractive for hyperbolic PDEs of this generality. We have implemented four: A two-step variant of the Lax-Frie...

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

ژورنال

عنوان ژورنال: Communications in Mathematical Sciences

سال: 2009

ISSN: 1539-6746,1945-0796

DOI: 10.4310/cms.2009.v7.n1.a4