Temporal Error Control for Convection-Dominated Equations in Two Space Dimensions

نویسنده

  • Martin Berzins
چکیده

A new time integration strategy for the solution of convection-dominated partial differential equations in two space dimensions by the method of lines is presented. The strategy aims to ensure that the time integration error is less than the spatial discretisation error. This is achieved by making use of the individual contributions of the local spatial discretisation error and the local time integration error to the global error in the numerical solution. Numerical results are used to illustrate the performance of this strategy.

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

Output-Based Space-Time Mesh Adaptation for Unsteady Aerodynamics

An adjoint-based output error estimation algorithm is presented for unsteady problems discretized on static meshes with a space-time discontinuous Galerkin finite element method. An approximate factorization technique is used to solve both the forward and the discrete adjoint problems. A space-time anisotropy measure based on projection of the adjoint solution is used to attribute the error to ...

متن کامل

Two-grid Method for Characteristics Finite Volume Element of Nonlinear Convection-dominated Diffusion Equations

A characteristics finite volume element discretization technique based on two subspaces is presented for a nonlinear convection-dominated diffusion equations. The solution of a nonlinear system on the fine space is composed of solving one small (nonlinear) system on the coarse space and a linear system on the fine space. Error estimates are derived and numerical experiments are performed to val...

متن کامل

Spatially Non-Uniform Time-Step Adaptation for Functional Outputs in Unsteady Flow Problems

This paper presents a space-time finite-volume formulation for the Euler equations, which allows for the use of spatially non-uniform time-steps. The formulation also inherently accounts for the effect of dynamically deforming computational meshes. The space and time dimensions are treated in a unified manner so as to permit the variation of control volume sizes in both dimensions. The primary ...

متن کامل

An Output-Based Adaptive Hybridized Discontinuous Galerkin Method on Deforming Domains

In this paper we present an output-based adaptive method for unsteady simulations of convection-dominated flows on deformable domains. The target discretization is the hybridized discontinuous Galerkin method (HDG), which offers potential computational savings at high order compared to the discontinuous Galerkin (DG) method. Mesh deformation is achieved through an arbitrary Lagrangian-Eulerian ...

متن کامل

An Approximation of Three-Dimensional Semiconductor Devices by Mixed Finite Element Method and Characteristics-Mixed Finite Element Method

Abstract. The mathematical model for semiconductor devices in three space dimensions are numerically discretized. The system consists of three quasi-linear partial differential equations about three physical variables: the electrostatic potential, the electron concentration and the hole concentration. We use standard mixed finite element method to approximate the elliptic electrostatic potentia...

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:
  • SIAM J. Scientific Computing

دوره 16  شماره 

صفحات  -

تاریخ انتشار 1995