The Upwind Finite Volume Element Method for Two-Dimensional Burgers Equation

نویسندگان

چکیده

برای دانلود رایگان 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

The Upwind Finite Volume Element Method for Two-Dimensional Burgers Equation

and Applied Analysis 3 where P l (V) (l = 0, 1) denotes the set of polynomials on V with a degree of not more than l. Multiplying (6a) by test function z ∈ V h and integrating by parts yield ( ∂θ ∂t , z) + B 1 (θ; θ, z) + B 2 (θ; θ, z) + A (θ, z) = 0, ∀z ∈ V h , (9)

متن کامل

Approximation of Burgers’ Equation Using B-spline Finite Element Method

In this paper we present a numerical scheme for solving Burgers equation using B-spline finite element method. Main advantages of the present technique are: it is simple, efficient and moreover easy to understand. Some numerical examples are considered to test the functioning of proposed scheme. Results obtained from the given method of solution are validated by means of comparisons made with t...

متن کامل

An Enhanced Finite Element method for Two Dimensional Linear Viscoelasticity using Complex Fourier Elements

In this paper, the finite element analysis of two-dimensional linear viscoelastic problems is performed using quadrilateral complex Fourier elements and, the results are compared with those obtained by quadrilateral classic Lagrange elements. Complex Fourier shape functions contain a shape parameter which is a constant unknown parameter adopted to enhance approximation’s accuracy. Since the iso...

متن کامل

A Closed-Form Solution for Two-Dimensional Diffusion Equation Using Crank-Nicolson Finite Difference Method

In this paper a finite difference method for solving 2-dimensional diffusion equation is presented. The method employs Crank-Nicolson scheme to improve finite difference formulation and its convergence and stability. The obtained solution will be a recursive formula in each step of which a system of linear equations should be solved. Given the specific form of obtained matrices, rather than sol...

متن کامل

The central-upwind finite-volume method for atmospheric numerical modeling

A semi-discretized central-upwind finite-volume (CFV) scheme has been developed for atmospheric modeling applications. The non-oscillatory property of the scheme is achieved by employing high-order weighted essentially non-oscillatory (WENO) reconstruction method, and time integration relies on explicit Runge-Kutta method. The WENO reconstruction is fifth-order accurate and implemented in a dim...

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: Abstract and Applied Analysis

سال: 2013

ISSN: 1085-3375,1687-0409

DOI: 10.1155/2013/351619