145 citations · 492 across the 20 of their papers we have counts for
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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,…
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…
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…
A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations
Andrew R. Winters, Rodrigo C. Moura, Gianmarco Mengaldo +4
This work focuses on the accuracy and stability of high-order nodal discontinuous Galerkin (DG) methods for under-resolved turbulence computations. In particular we consider the in…