activity
20132026
most citedNektar++: enhancing the capability and application of high-fidelity spectral/ element methods

145 citations · 247 across the 18 of their papers we have counts for

collaborators

19 papers

math.NA2026

Low-Order Refined Preconditioning for Spectral/hp Element Method for Complex, 3D Geometries

Parv Khurana, Henrik Wüstenberg, Spencer J. Sherwin +3

Low-order refined (LOR) preconditioning replaces a high-order operator with a low-order discretisation on a refined nodal mesh. For tensor-product elements, the two operators are s…

cs.MS2026

NektarIR: A Domain-Specific Compiler for High-Order Finite Element Operations on Heterogeneous Hardware

Edward Erasmie-Jones, Giacomo Castiglioni, David Moxey

Modern high performance computing (HPC) applications must target heterogeneous hardware. This requires significant work to ensure domain specific implementations translate to highl…

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…

math.NA2026

Architecture-aware -to- optimisation: spectral/ element operators for mixed-element meshes

Jacques Y. Xing, Boyang Xia, Diego Renner +4

We extend earlier international efforts to optimise hexahedral-based spectral element methods on GPUs and vectorised CPUs to mixed element meshes additionally involving prismatic,…

math.NA2025

A geometrically informed algebraic multigrid preconditioned iterative approach for solving high-order finite element systems

Songzhe Xu, Majid Rasouli, Robert M. Kirby +2

Algebraic multigrid (AMG) is conventionally applied in a black-box fashion, agnostic to the underlying geometry. In this work, we propose that using geometric information -- when a…

math.NA2021★ 2 cited

Fast Barycentric-Based Evaluation Over Spectral/hp Elements

Edward Laughton, Vidhi Zala, Akil Narayan +2

As the use of spectral/ element methods, and high-order finite element methods in general, continues to spread, community efforts to create efficient, optimized algorithms asso…

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…

math.NA2020★ 18 cited

A comparison of interpolation techniques for non-conformal high-order discontinuous Galerkin methods

Edward Laughton, Gavin Tabor, David Moxey

The capability to incorporate moving geometric features within models for complex simulations is a common requirement in many fields. Fluid mechanics within aeronautical applicatio…

stat.CO2020★ 31 cited

Accelerating Uncertainty Quantification of Groundwater Flow Modelling Using a Deep Neural Network Proxy

Mikkel B. Lykkegaard, Tim J. Dodwell, David Moxey

Quantifying the uncertainty in model parameters and output is a critical component in model-driven decision support systems for groundwater management. This paper presents a novel…

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…

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…

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…

physics.comp-ph2018

Combined CG-HDG Method for Elliptic Problems: Performance Model

Martin Vymazal, David Moxey, Chris Cantwell +2

We combine continuous and discontinuous Galerkin methods in the setting of a model diffusion problem. Starting from a hybrid discontinuous formulation, we replace element interiors…

physics.flu-dyn2015

Implicit Large Eddy Simulation of a wingtip vortex at

Jean-Eloi W. Lombard, David Moxey, Julien F. A. Hoessler +3

In this article we present recent developments in numerical methods for performing a Large Eddy Simulation (LES) of the formation and evolution of a wingtip vortex. The development…

cs.DC2013★ 1 cited

Simplifying the Development, Use and Sustainability of HPC Software

Jeremy Cohen, Chris Cantwell, Neil Chue Hong +5

Developing software to undertake complex, compute-intensive scientific processes requires a challenging combination of both specialist domain knowledge and software development ski…