Numerical Solution of Turbulence Problems by Solving Burgers' Equation

نویسندگان

  • Alicia Cordero
  • Antonio Franques
  • Juan R. Torregrosa
چکیده

In this work we generate the numerical solutions of Burgers’ equation by applying the Crank-Nicholson method and different schemes for solving nonlinear systems, instead of using Hopf-Cole transformation to reduce Burgers’ equation into the linear heat equation. The method is analyzed on two test problems in order to check its efficiency on different kinds of initial conditions. Numerical solutions as well as exact solutions for different values of viscosity are calculated, concluding that the numerical results are very close to the exact solution.

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عنوان ژورنال:
  • Algorithms

دوره 8  شماره 

صفحات  -

تاریخ انتشار 2015