Grid adaptation with WENO schemes for non-uniform grids to solve convection-dominated partial differential equations

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Smit, J. and Sint Annaland van, M. and Kuipers, J.A.M. (2005) Grid adaptation with WENO schemes for non-uniform grids to solve convection-dominated partial differential equations. Chemical Engineering Science, 60 (10). pp. 2609-2619. ISSN 0009-2509

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Abstract:The numerical solution of non-stationary convection-dominated partial differential equations (PDEs), as for example encountered in the simulation of reverse flow reactors, can be a computationally quite demanding task because of the prevailing steep concentration and temperature gradients. The computational effort can be greatly reduced with higher-order discretisation schemes for the convection terms and with an automatic, local grid adaptation. In this paper, WENO schemes (e.g. Advanced Numerical Approximations of Nonlinear Hyperbolic Equations, Lecture Notes in Mathematics, vol. 1697, Springer, Berlin, 1998, pp. 325¿432) are used for the convection terms and a local grid adaptation technique is presented that uses the smoothness indicators and interpolation polynomials of the WENO schemes. It is shown that the number of grid cells required to accurately capture steep gradients can be greatly reduced with this grid adaptation technique. Finally, the capabilities of the numerical algorithm is demonstrated for the simulation of a reverse flow reactor.
Item Type:Article
Copyright:© 2005 Elsevier Ltd
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Link to this item:http://purl.utwente.nl/publications/54576
Official URL:http://dx.doi.org/10.1016/j.ces.2004.12.017
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