Numerical solutions of Burgers ' a large Reynolds number equation with

نویسنده

  • MASAAKI SUGIHARA
چکیده

Ilpen;Io;,Keno npell6pa3llP~lHHe rO~lHOl'O pememm ypaBHel-IH~.l Bu~pre~t, Ilpe,~lCTilBdleFl}lorl~ B Illllle 6eCKoHeqHoro pmla, B ¢k~aee llpOCTylO EI:x~pMy C IIClllIJ'It£1111~IHIleM 3dI.IIIIITIIMeCKOI~I (]:lyl.IKl[llll ~3('0, q), ]Jdl$t BbltlltC:leHllJ,,l "I~3(U, q ) tICII,I;,,'II£1yeTcI,,! MHIIMIle Ilp~x~pa3l~.BaHlle ~KI~II, l'|oKa=laHl), ~'1"II. IIl:qlyqeHHMe TaKItM I~pa3oM pellletttl~l :ItBdlI-IIOTF.$1 ~-ItlC;IeHt.II) yCrlll:lqllBblMI! 11 TOqHMMII.

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

Numerical solution of the one dimensional non-linear Burgers equation using the Adomian decomposition method and the comparison between the modified Local Crank-Nicolson method and the VIM exact ‎solution

The Burgers’ equation is a simplified form of the Navier-Stokes equations that very well represents their non-linear features. In this paper, numerical methods of the Adomian decomposition and the Modified Crank – Nicholson, used for solving the one-dimensional Burgers’ equation, have been compared. These numerical methods have also been compared with the analytical method. In contrast to...

متن کامل

B-spline Collocation Methods for Numerical Solutions of the Burgers’ Equation

The Burgers’ equation first appeared in the paper by Bateman [3], who mentioned two of the essentially steady solutions. Due to extensive works of Burgers [4] involving the Burgers’ equation especially as a mathematical model for the turbulence, it is known as Burgers’ equation. The equation is used as a model in fields as wide as heat conduction [5], gas dynamics [13], shock waves [4], longitu...

متن کامل

Higher-order accurate numerical solution of unsteady Burgers' equation

Higher-order accurate finite-difference schemes for solving the unsteady Burgers’ equation which often arises in mathematical modeling used to solve problems in fluid dynamics are presented. The unsteady Burgers’ equation belongs to a few nonlinear partial differential equations which has an exact solution, and it allows one to compare the numerical solution with the exact one, and the properti...

متن کامل

A semi-implicit finite-difference approach for two-dimensional coupled Burgers’ equations

In this paper, a semi-implicit finite-difference method is used to find the numerical solution of two-dimensional Coupled Burgers’ equation. The proposed scheme forms a system of linear algebraic difference equations to be solved at each time-step. The linear system is solved by direct method. Numerical results are compared with those of exact solutions and other available results. The present ...

متن کامل

Comparison of The LBM With the Modified Local Crank-Nicolson Method Solution of Transient Two-Dimensional Non-Linear Burgers Equation

Burgers equation is a simplified form of the Navier-Stokes equation that represents the non-linear features of it. In this paper, the transient two-dimensional non-linear Burgers equation is solved using the Lattice Boltzmann Method (LBM). The results are compared with the Modified Local Crank-Nicolson method (MLCN) and exact solutions. The LBM has been emerged as a new numerical method for sol...

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:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006