Exponential time integration using Krylov subspaces

Jan C. Schulze; P. J. Schmid; J. L. Sesterhenn

doi:10.1002/fld.1902

Exponential time integration using Krylov subspaces

Jan C. Schulze, P. J. Schmid, J. L. Sesterhenn

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

The application of exponential integrators based on Krylov techniques to large-scale simulations of complex fluid flows with multiple time-scales demonstrates the efficiency of these schemes in reducing the associated time-step restrictions due to numerical stiffness. Savings of approximately 50% can be achieved for simulations of the three-dimensional compressible Navier-Stokes equations while still maintaining a truncation error typical of explicit time-stepping schemes. Exponential time integration techniques of this type are particularly advantageous for fluid flows with a wide range of temporal scales such as low-Mach number, reactive or acoustically dominated flows. Copyright © 2008 John Wiley & Sons, Ltd.

Original language	English (US)
Pages (from-to)	591-609
Number of pages	19
Journal	International Journal for Numerical Methods in Fluids
Volume	60
Issue number	6
DOIs	https://doi.org/10.1002/fld.1902
State	Published - Jun 30 2009
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2022-09-13

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Computational Mechanics
Applied Mathematics
Computer Science Applications

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10.1002/fld.1902

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title = "Exponential time integration using Krylov subspaces",

abstract = "The application of exponential integrators based on Krylov techniques to large-scale simulations of complex fluid flows with multiple time-scales demonstrates the efficiency of these schemes in reducing the associated time-step restrictions due to numerical stiffness. Savings of approximately 50% can be achieved for simulations of the three-dimensional compressible Navier-Stokes equations while still maintaining a truncation error typical of explicit time-stepping schemes. Exponential time integration techniques of this type are particularly advantageous for fluid flows with a wide range of temporal scales such as low-Mach number, reactive or acoustically dominated flows. Copyright {\textcopyright} 2008 John Wiley & Sons, Ltd.",

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AU - Schulze, Jan C.

AU - Schmid, P. J.

AU - Sesterhenn, J. L.

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PY - 2009/6/30

Y1 - 2009/6/30

N2 - The application of exponential integrators based on Krylov techniques to large-scale simulations of complex fluid flows with multiple time-scales demonstrates the efficiency of these schemes in reducing the associated time-step restrictions due to numerical stiffness. Savings of approximately 50% can be achieved for simulations of the three-dimensional compressible Navier-Stokes equations while still maintaining a truncation error typical of explicit time-stepping schemes. Exponential time integration techniques of this type are particularly advantageous for fluid flows with a wide range of temporal scales such as low-Mach number, reactive or acoustically dominated flows. Copyright © 2008 John Wiley & Sons, Ltd.

AB - The application of exponential integrators based on Krylov techniques to large-scale simulations of complex fluid flows with multiple time-scales demonstrates the efficiency of these schemes in reducing the associated time-step restrictions due to numerical stiffness. Savings of approximately 50% can be achieved for simulations of the three-dimensional compressible Navier-Stokes equations while still maintaining a truncation error typical of explicit time-stepping schemes. Exponential time integration techniques of this type are particularly advantageous for fluid flows with a wide range of temporal scales such as low-Mach number, reactive or acoustically dominated flows. Copyright © 2008 John Wiley & Sons, Ltd.

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DO - 10.1002/fld.1902

M3 - Article

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EP - 609

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

IS - 6

ER -

Exponential time integration using Krylov subspaces

Abstract

Bibliographical note

ASJC Scopus subject areas

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