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14 papers · 2 filters
Second-order accurate normal reconstruction from volume fractions on unstructured meshes with arbitrary polyhedral cells
Johannes Kromer, Fabio Leotta, Dieter Bothe
This paper introduces a novel method for the efficient second-order accurate computation of normal fields from volume fractions on unstructured polyhedral meshes. Locally, i.e. in…
On torque computation in electric machine simulation by harmonic mortar methods
Herbert Egger, Mané Harutyunyan, Richard Löscher +2
The use of trigonometric polynomials as Lagrange multipliers in the harmonic mortar method enables an efficient and elegant treatment of relative motion in the stator-rotor couplin…
Interpolation Operator on negative Sobolev Spaces
Lars Diening, Johannes Storn, Tabea Tscherpel
We introduce a Scott--Zhang type projection operator mapping to Lagrange elements for arbitrary polynomial order. In addition to the usual properties, this operator is compatible w…
Third-order accurate initialization of VOF volume fractions on unstructured meshes with arbitrary polyhedral cells
Johannes Kromer, Dieter Bothe
This paper introduces a novel method for the efficient and accurate computation of volume fractions on unstructured polyhedral meshes, where the phase boundary is an orientable hyp…
A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations
Thi-Hoa Nguyen, René R. Hiemstra, Stein K. F. Stoter +1
A key advantage of isogeometric discretizations is their accurate and well-behaved eigenfrequencies and eigenmodes. For degree two and higher, however, optical branches of spurious…
Tree-Cotree Decomposition of Isogeometric Mortared Spaces in H(curl) on Multi-Patch Domains
Bernard Kapidani, Melina Merkel, Sebastian Schöps +1
When applying isogeometric analysis to engineering problems, one often deals with multi-patch spline spaces that have incompatible discretisations, e.g. in the case of moving objec…