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Numerical Solution of the Advection Equation
Abstract This chapter presents a number of schemes for solution of 1D advection equation, which are based on the finite difference method, the finite element method and the method of characteristics. The roots of numerical errors in the form of numerical diffusion and dispersion generated in the solution of hyperbolic equations are discussed. The method of analysis and graphical presentation of the numerical properties of applied schemes is described. The chapter ends with basic information on the accuracy analysis using the modified equation approach.
Numerical Solution of the Advection Equation
Abstract This chapter presents a number of schemes for solution of 1D advection equation, which are based on the finite difference method, the finite element method and the method of characteristics. The roots of numerical errors in the form of numerical diffusion and dispersion generated in the solution of hyperbolic equations are discussed. The method of analysis and graphical presentation of the numerical properties of applied schemes is described. The chapter ends with basic information on the accuracy analysis using the modified equation approach.
Numerical Solution of the Advection Equation
Szymkiewicz, Romuald (author)
2009-12-12
43 pages
Article/Chapter (Book)
Electronic Resource
English
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