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20132022
most citedNektar++: enhancing the capability and application of high-fidelity spectral/ element methods

145 citations · 492 across the 20 of their papers we have counts for

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Showing 2019Show all

7 papers · 1 filter

math.NA2019

Naturally curved quadrilateral mesh generation using an adaptive spectral element solver

Julian Marcon, David A. Kopriva, Spencer J. Sherwin +1

We describe an adaptive version of a method for generating valid naturally curved quadrilateral meshes. The method uses a guiding field, derived from the concept of a cross field,…

physics.flu-dyn2019★ 1 cited

Spectral/hp element simulation of flow past a Formula One front wing: validation against experiments

Filipe F. Buscariolo, Julien Hoessler, David Moxey +6

Emerging commercial and academic tools are regularly being applied to the design of road and race cars, but there currently are no well-established benchmark cases to study the aer…

physics.comp-ph2019★ 8 cited

-adaptation for compressible flows

Julian Marcon, Giacomo Castiglioni, David Moxey +2

We present an -adaptation strategy for high-fidelity simulation of compressible inviscid flows with shocks. The mesh resolution in regions of flow discontinuities is increased…

math.NA2019

Numerical study on the effect of geometric approximation error in the numerical solution of PDEs using a high-order curvilinear mesh

Sehun Chun, Julian Marcon, Joaquim Peiro +1

When time-dependent partial differential equations (PDEs) are solved numerically in a domain with curved boundary or on a curved surface, mesh error and geometric approximation err…

cs.MS2019★ 145 cited

Nektar++: enhancing the capability and application of high-fidelity spectral/ element methods

David Moxey, Chris D. Cantwell, Yan Bao +14

Nektar++ is an open-source framework that provides a flexible, high-performance and scalable platform for the development of solvers for partial differential equations using the hi…

cs.CG2019★ 4 cited

A variational approach to high-order r-adaptation

Julian Marcon, Michael Turner, David Moxey +2

A variational framework, initially developed for high-order mesh optimisation, is being extended for r-adaptation. The method is based on the minimisation of a functional of the me…

math.NA2019★ 12 cited

A High Resolution PDE Approach to Quadrilateral Mesh Generation

Julian Marcon, David A. Kopriva, Spencer J. Sherwin +1

We describe a high order technique to generate quadrilateral decompositions and meshes for complex two dimensional domains using spectral elements in a field guided procedure. Insp…