Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients

Jan Heiland; Maximilian Behr; Peter Benner

Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients

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arxiv 1707.08711 v1 pith:27DUJHIR submitted 2017-07-27 cs.MS math.DS

Maximilian Behr , Peter Benner , Jan Heiland This is my paper · ORCID

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keywords dataequationsexampleinputsnavier-stokesoutputssetupsspatial

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We provide spatial discretizations of nonlinear incompressible Navier-Stokes equations with inputs and outputs in the form of matrices ready to use in any numerical linear algebra package. We discuss the assembling of the system operators and the realization of boundary conditions and inputs and outputs. We describe the two benchmark problems - the driven cavity and the cylinder wake - and provide the corresponding data. The use of the data is illustrated by numerous example setups. The test cases are provided as plain PYTHON or OCTAVE/MATLAB script files for immediate replication.

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