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A High-Order Method for Weakly Compressible Flows

Journal article

Fast facts

  • Internal authorship

  • Further publishers

    Jochen Schütz

  • Publishment

    • 2017
  • Purpose of publication

  • Organizational unit

  • Subjects

    • Numerical Mathematics and Mathematical Optimization
  • Research fields

    • Other field of research

Quote

K. Kaiser and J. Schütz, “A High-Order Method for Weakly Compressible Flows,” *Communications in Computational Physics*, vol. 22, no. 4, pp. 1150–1174, 2017.

Content

In this work, we introduce an IMEX discontinuous Galerkin solver for the weakly compressible isentropic Euler equations. The splitting required for the IMEX temporal integration is based on the recently introduced reference solution splitting [32, 52], which makes use of the incompressible solution. We show that the overall method is asymptotically preserving. Numerical results demonstrate the performance of the algorithm, which is stable under a convective CFL condition and does not exhibit any degradation in order.

References and Relationships

DOI 10.4208/cicp.oa-2017-0028

Notes and references

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