Implementation of a Harmonic Balance Solver into a Compressible CFD Code
Report, 2017

In this project the Harmonic Balance technique for solving time periodic problems in fluid dynamics has been implemented into the parallel Navier-Stokes solver G3D::Flow. Performance issues with regards to the original implementation are identified using two profiling tools, Cachegrind and Allinea-Map 6.11. These findings are used to derive a numerical algorithm that benefits from both improved cache locality and loop performance by utlizing blocked matrix multiplication and vectorization. The scaling properties of the Harmonic Balance technique are also demonstrated by deriving an approximate performance model and comparing it to numerical results obtained at the Triolith and Hebbe computer clusters at Linköping and Chalmers Univeristy.

Harmonic Balance

Allinea MAP




Daniel Lindblad

Chalmers, Applied Mechanics, Fluid Dynamics

Subject Categories

Computational Mathematics

Fluid Mechanics and Acoustics


C3SE (Chalmers Centre for Computational Science and Engineering)

Technical report - Department of Applied Mechanics, Chalmers University of Technology, Göteborg, Sweden

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