Extrapolation methods for hyperbolic systems with relaxation

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

Hyperbolic Systems with Relaxation :

Well{posedness of a constant{coeecient, rst{order, hyperbolic system is equivalent to the existence of a symmetrizer. This symmetrizer is usually constructed in Fourier space and generally depends on the wave number. Nevertheless, many physical systems have constant symmetrizers which deene a quadratic entropy. This paper presents physically relevant systems with relaxation which are stiiy well...

متن کامل

Implicit-Explicit methods for hyperbolic systems with hyperbolic and parabolic relaxation

In this talk we discuss the problem of constructing effective high order methods for the numerical solution of hyperbolic systems of balance laws, in presence of stiff source. Because of the stiffness, the use of implicit integrators is advisable, so that no restrictions on the time step due to small relaxation time will appear. Two different relaxation systems will be considered, namely hyperb...

متن کامل

Model Adaptation for Hyperbolic Systems with Relaxation

In numerous applications, a hierarchy of models is available to describe the phenomenon under consideration. We focus in this work on general hyperbolic systems with stiff relaxation source terms together with the corresponding hyperbolic equilibrium systems. The goal is to determine the regions of the computational domain where the relaxation model (so-called fine model) can be replaced by the...

متن کامل

Stii Well{posedness for Hyperbolic Systems with Large Relaxation Terms

The Cauchy problem for linear constant{coeecient hyperbolic systems u t + Au x = (1==)Bu is analyzed. Here (1==)Bu is a large relaxation term, and we are mostly interested in the critical case where B has a non{trivial nullspace. A concept of stii well{posedness is introduced that ensures solution estimates independent of 0 < 1. Under suitable assumptions, we prove convergence of the L 2 {solut...

متن کامل

Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation∗

We develop high-resolution shock-capturing numerical schemes for hyperbolic systems with relaxation. In such systems the relaxation time may vary from order-1 to much less than unity. When the relaxation time is small, the relaxation term becomes very strong and highly stiff, and underresolved numerical schemes may produce spurious results. Usually one cannot decouple the problem into separate ...

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: Journal of Computational and Applied Mathematics

سال: 1996

ISSN: 0377-0427

DOI: 10.1016/0377-0427(95)00194-8