activity
20172026
most citedNektar++: enhancing the capability and application of high-fidelity spectral/ element methods

145 citations · 318 across the 12 of their papers we have counts for

collaborators

12 papers

physics.flu-dyn2026

Implicit Velocity Correction Schemes for Scale-Resolving Simulations of Incompressible Flow: Stability, Accuracy, and Performance

Henrik Wüstenberg, Alexandra Liosi, Spencer J. Sherwin +2

Scale-resolving simulations of high-Reynolds-number incompressible flow are often limited by the Courant--Friedrichs--Lewy (CFL) restriction of explicit time-stepping schemes, lead…

cs.CE2020★ 6 cited

Industry-Relevant Implicit Large-Eddy Simulation of a High-Performance Road Car via Spectral/hp Element Methods

Gianmarco Mengaldo, David Moxey, Michael Turner +5

We present a successful deployment of high-fidelity Large-Eddy Simulation (LES) technologies based on spectral/hp element methods to industrial flow problems, which are characteriz…

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…

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.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★ 2 cited

A semi-structured approach to curvilinear mesh generation around streamlined bodies

Julian Marcon, Joaquim Peiró, David Moxey +3

We present an approach for robust high-order mesh generation specially tailored to streamlined bodies. The method is based on a semi-sructured approach which combines the high qual…

cs.GR2019★ 3 cited

High-order curvilinear hybrid mesh generation for CFD simulations

Julian Marcon, Michael Turner, Joaquim Peiró +4

We describe a semi-structured method for the generation of high-order hybrid meshes suited for the simulation of high Reynolds number flows. This is achieved through the use of hig…

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…

math.NA2017★ 112 cited

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…