A conservative hybrid method for darcy flow

Conference paper (2020)

Authors

V. Jain Aerodynamics - Aerospace Engineering
Joël Fisser Student
A. Palha Aerodynamics - Aerospace Engineering
M.I. Gerritsma Aerodynamics - Aerospace Engineering
Research Group
Aerodynamics (Aerospace Engineering) (TU Delft)
Copyright: © 2020 V. Jain, Joël Fisser, A. Palha, M.I. Gerritsma
DOI: https://doi.org/10.1007/978-3-030-39647-3_16
More Info
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Published Date

2020

Language

English

Faculty

Aerospace Engineering

Department

Flow Physics and Technology

Research Group

Aerodynamics

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.