Effective multigrid method for high-speed flows

R. C. Swanson; E. Turkel; J. A. White

doi:10.1002/cnm.1630080913

Effective multigrid method for high-speed flows

R. C. Swanson^*, E. Turkel, J. A. White

^*Corresponding author for this work

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

Abstract

We consider the use of a multigrid method with central differencing to solve the Navier-Stokes equations for high-speed flows. The time-dependent form of the equations is integrated with a Runge-Kutta scheme accelerated by local time-stepping and variable-coefficient implicit residual smoothing. Of particular importance are the details of the numerical dissipation formulation, especially the switch between the second and fourth difference terms. Solutions are given for two-dimensional laminar flow over a circular cylinder and a 15-degree compression ramp.

Original language	English
Pages (from-to)	671-681
Number of pages	11
Journal	Communications in Applied Numerical Methods
Volume	8
Issue number	9
DOIs	https://doi.org/10.1002/cnm.1630080913
State	Published - 1992
Externally published	Yes

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title = "Effective multigrid method for high-speed flows",

abstract = "We consider the use of a multigrid method with central differencing to solve the Navier-Stokes equations for high-speed flows. The time-dependent form of the equations is integrated with a Runge-Kutta scheme accelerated by local time-stepping and variable-coefficient implicit residual smoothing. Of particular importance are the details of the numerical dissipation formulation, especially the switch between the second and fourth difference terms. Solutions are given for two-dimensional laminar flow over a circular cylinder and a 15-degree compression ramp.",

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year = "1992",

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N2 - We consider the use of a multigrid method with central differencing to solve the Navier-Stokes equations for high-speed flows. The time-dependent form of the equations is integrated with a Runge-Kutta scheme accelerated by local time-stepping and variable-coefficient implicit residual smoothing. Of particular importance are the details of the numerical dissipation formulation, especially the switch between the second and fourth difference terms. Solutions are given for two-dimensional laminar flow over a circular cylinder and a 15-degree compression ramp.

AB - We consider the use of a multigrid method with central differencing to solve the Navier-Stokes equations for high-speed flows. The time-dependent form of the equations is integrated with a Runge-Kutta scheme accelerated by local time-stepping and variable-coefficient implicit residual smoothing. Of particular importance are the details of the numerical dissipation formulation, especially the switch between the second and fourth difference terms. Solutions are given for two-dimensional laminar flow over a circular cylinder and a 15-degree compression ramp.

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DO - 10.1002/cnm.1630080913

M3 - מאמר

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JO - International Journal for Numerical Methods in Biomedical Engineering

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SN - 2040-7939

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ER -

Effective multigrid method for high-speed flows

Abstract

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