Numerical solution of turbulence problems by solving Burgers' equation
type: Item
instance of: scholarly article
title: Numerical solution of turbulence problems by solving Burgers' equation
zbMATH Open document ID: 1461.76351
author: Alicia Cordero
author: Antonio Franques
author: Juan Ramón Torregrosa Sánchez
published in: Algorithms
publication date: 2019-03-26T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 76F65
zbMATH DE Number: 7042247
zbMATH Keywords: Burgers' equation
zbMATH Keywords: nonlinear system of equations
zbMATH Keywords: Newton's scheme
zbMATH Keywords: high order iterative method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/a8020224
OpenAlex ID: W1575653711
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DOI: 10.3390/A8020224
description: scientific article; zbMATH DE number 7042247