most citedNektar++: Design and implementation of an implicit, spectral/ element, compressible flow solver using a Jacobian-free Newton Krylov approach

26 citations

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3 papers

math.NA2021★ 8 cited

A priori subcell limiting approach for the FR/CPR method on unstructured meshes

Guo-Quan Shi, Huajun Zhu, Zhen-Guo Yan

A priori subcell limiting approach is developed for high-order flux reconstruction/correction procedure via reconstruction (FR/CPR) on two-dimensional unstructured quadrilateral me…

math.NA2021★ 9 cited

A priori subcell limiting based on compact nonuniform nonlinear weighted schemes of high-order CPR method for hyperbolic conservation laws

Huajun Zhu, Huayong Liu, Zhen-Guo Yan +2

This paper develops a shock capturing approach for high-order correction procedure via reconstruction (CPR) method with Legendre-Gauss solution points. Shock regions are treated by…

physics.flu-dyn2020★ 26 cited

Nektar++: Design and implementation of an implicit, spectral/ element, compressible flow solver using a Jacobian-free Newton Krylov approach

Zhen-Guo Yan, Yu Pan, Giacomo Castiglioni +4

At high Reynolds numbers, the use of explicit in time compressible flow simulations with spectral/ element discretization can become significantly limited by time step. To alle…