Non-conforming elements in nek5000: Pressure preconditioning and parallel performance

A. Peplinski, N. Offermans, P. F. Fischer, P. Schlatter

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Adaptive mesh refinement (AMR) is an important component of modern numerical solvers, as it allows to control the computational error during the simulation, increasing the reliability of the numerical modelling and giving the possibility to study a broad range of different phenomena even without knowing the physics a priori. In this work we present selected aspects of the implementation and parallel performance of a new h-type AMR framework developed for the high-order CFD solver Nek5000; the development was done within the ExaFLOW EU project. We utilise in this case the natural domain decomposition inherent to the spectral element method (SEM), which constitutes the main source of parallelism and provides meshing flexibility that can be exploited in AMR. We use standard libraries for parallel mesh management (p4est) and partitioning (ParMetis) and focus on developing efficient preconditioners for the pressure problem solved on non-conforming meshes. Two different approaches are considered: an additive overlapping Schwarz and a hybrid Schwarz-multigrid method. The strong scaling is shown on the example of the simulation of the turbulent flow around a NACA4412 wing section at Re = 200, 000.

Original languageEnglish (US)
Title of host publicationSpectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 - Selected Papers from the ICOSAHOM Conference
EditorsSpencer J. Sherwin, Joaquim Peiró, Peter E. Vincent, David Moxey, Christoph Schwab
Number of pages11
ISBN (Print)9783030396466
StatePublished - 2020
Event12th International Conference on Spectral and High-Order Methods, ICOSAHOM 2018 - London, United Kingdom
Duration: Jul 9 2018Jul 13 2018

Publication series

NameLecture Notes in Computational Science and Engineering
ISSN (Print)1439-7358
ISSN (Electronic)2197-7100


Conference12th International Conference on Spectral and High-Order Methods, ICOSAHOM 2018
CountryUnited Kingdom

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

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