Abstract
We present an extension of the multidimensional upwind distributive schemes to high order solution spaces. We look into different high-order discretization issues such as: quadratic and cubic boundary curvature; monotonicity of the schemes in presence of solutions with discontinuities; discretisation of temporal terms for unsteady applications and discretization of diffusive fluxes. Results of test cases representative of all these issues are presented.
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Villedieu, N., Quintino, T., Vymazal, M., Deconinck, H. (2010). High Order Residual Distribution Schemes Based on Multidimensional Upwinding. In: Kroll, N., Bieler, H., Deconinck, H., Couaillier, V., van der Ven, H., Sørensen, K. (eds) ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03707-8_10
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DOI: https://doi.org/10.1007/978-3-642-03707-8_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03706-1
Online ISBN: 978-3-642-03707-8
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