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- W1519200217 abstract "We will present a higher order discretization method for convection dominated transport equations. The discretisation for the convection-diffusion-reaction equation is based on finite volume methods which are vertex centered. The discretisation for the convection-reaction equation is improved with embedded analytical solutions for the mass. The method is based on the Godunovs-method, [10]. The exact solutions are derived for the one-dimensional convection- reaction equation with piecewise linear initial conditions. We introduce a special cases for the analytical solutions with equal reaction-parameters, confer [9]. We use operator-splitting for solving the convection-reaction-term and the diffusion-term. Numerical results are presented and compared the standard- with the modified- method. Finally we propose our further works on this topic." @default.
- W1519200217 created "2016-06-24" @default.
- W1519200217 creator A5027368807 @default.
- W1519200217 date "2005-01-01" @default.
- W1519200217 modified "2023-10-01" @default.
- W1519200217 title "Discretization Methods with Embedded Analytical Solutions for Convection Dominated Transport in Porous Media" @default.
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- W1519200217 doi "https://doi.org/10.1007/978-3-540-31852-1_34" @default.
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