Print Email Facebook Twitter A conservative hybrid method for darcy flow Title A conservative hybrid method for darcy flow Author Jain, V. (TU Delft Aerodynamics) Fisser, Joël (Student TU Delft) Palha da Silva Clérigo, A. (TU Delft Aerodynamics) Gerritsma, M.I. (TU Delft Aerodynamics) Contributor Sherwin, Spencer J. (editor) Peiró, Joaquim (editor) Vincent, Peter E. (editor) Moxey, David (editor) Schwab, Christoph (editor) Date 2020 Abstract We present a hybrid mimetic spectral element formulation for Darcy flow. The discrete representations for (1) conservation of mass, and (2) inter-element continuity, are topological relations that lead to sparse matrix systems. These constraints are independent of the element size and shape, and thus invariant under mesh transformations. The resultant algebraic system is extremely sparse even for high degree polynomial basis. Furthermore, the system can be efficiently assembled and solved for each element separately. To reference this document use: http://resolver.tudelft.nl/uuid:e447e086-3e50-4bce-87d1-f9f9af88df48 DOI https://doi.org/10.1007/978-3-030-39647-3_16 Publisher SpringerOpen ISBN 9783030396466 Source Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 - Selected Papers from the ICOSAHOM Conference Event 12th International Conference on Spectral and High-Order Methods, ICOSAHOM 2018, 2018-07-09 → 2018-07-13, London, United Kingdom Series Lecture Notes in Computational Science and Engineering, 1439-7358, 134 Part of collection Institutional Repository Document type conference paper Rights © 2020 V. Jain, Joël Fisser, A. Palha da Silva Clérigo, M.I. Gerritsma Files PDF Jain2020_Chapter_AConserv ... dForDa.pdf 1.87 MB Close viewer /islandora/object/uuid:e447e086-3e50-4bce-87d1-f9f9af88df48/datastream/OBJ/view