Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations

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Published **1999**
by National Aeronautics and Space Administration, Langley Research Center, National Technical Information Service, distributor in Hampton, Va, [Springfield, Va .

Written in English

- Approximation theory -- Mathematical models.,
- Navier-Stokes equations.,
- Runge-Kutta formulas.,
- Wave equation -- Numerical solutions.,
- Stability -- Mathematical models.

**Edition Notes**

Other titles | Low storage, explicit Runge Kutta schemes for the compressible Navier-Stokes equations, ICASE |

Statement | Chistopher A. Kennedy, Mark H. Carpenter, R. Michael Lewis. |

Series | ICASE report -- no. 99-22, NASA/CR : -- 1999-209349, NASA contractor report -- NASA CR-1999-209349. |

Contributions | Carpenter, Mark H., Lewis, Robert Michael., Institute for Computer Applications in Science and Engineering., Langley Research Center. |

The Physical Object | |
---|---|

Pagination | 52 p. : |

Number of Pages | 52 |

ID Numbers | |

Open Library | OL21806949M |

The derivation of low-storage, explicit Runge-Kutta (ERK) schemes has been performed in the context of integrating the compressible Navier-Stokes equations . Low-storage, explicit Runge–Kutta schemes for the compressible Navier–Stokes equations. The efficiency and accuracy of several time integration schemes are investigated for the unsteady Navier-Stokes equations. This study focuses on the efficiency of higher-order Runge-Kutta schemes in comparison with the popular Backward Differencing Formulations. Implicit/explicit (IMEX) Runge-Kutta (RK) schemes are effective for time-marching ODE systems with both stiff and nonstiff terms on the RHS; such schemes implement an (often A-stable or better) implicit RK scheme for the stiff part of the ODE, which is often linear, and, simultaneously, a (more convenient) explicit RK scheme for the nonstiff part of the ODE, which is often Author: CavaglieriDaniele, BewleyThomas.

Explicit runge-kutta schemes for the compressible Navier-Stokes equations out by low-storage explicit Runge-Kutta schemes and the arbitrary derivative (ADER) method. the compressible. The derivation of low-storage, explicit Runge–Kutta (ERK) schemes has been performed in the context of integrating the compressible Navier–Stokes equations via . B. Sanderse and B. Koren, Accuracy analysis of explicit Runge–Kutta methods applied to the incompressible Navier–Stokes equations, Journal of Computational Physics, , 8, (), (). CrossrefCited by: The framework of inner product norm preserving relaxation Runge-Kutta methods (David I. Ketcheson, Relaxation Runge-Kutta Methods: Conservation and Stability for Inner-Product Norms, ) is extended to general convex quantities. Conservation, dissipation, or other solution properties with respect to any convex functional are enforced by the addition of a Cited by: 8.

Implicit–explicit (IMEX) Runge–Kutta (RK) schemes are popular high order time discretization methods for solving stiff kinetic equations. As opposed to the compressible Euler limit (leading order asymptotics of the Boltzmann equation as the Knudsen number \(\varepsilon \) goes to zero), their asymptotic behavior at the Navier–Stokes (NS Cited by: 3. The framework of inner product norm preserving relaxation Runge-Kutta methods (David I. Ketcheson, \\emph{Relaxation Runge-Kutta Methods: Conservation and Stability for Inner-Product Norms}, SIAM Journal on Numerical Analysis, ) is extended to general convex quantities. Conservation, dissipation, or other solution properties with respect to any convex Cited by: 8. Low-storage, explicit Runge–Kutta schemes for the compressible Navier–Stokes equations by Christopher A. Kennedy, Mark H. Carpenter, R. Michael Lewis, The derivation of low-storage, explicit Runge–Kutta (ERK) schemes has been performed in the context of integrating the compressible Navier–Stokes equations via direct numerical. Get this from a library! Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations. [Chistopher A Kennedy; Mark H Carpenter; R Michael Lewis; Langley Research Center.].

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