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

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

### Subjects:

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

## Book details:

Edition Notes

The Physical Object ID Numbers 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. Pagination 52 p. : Number of Pages 52 Open Library OL21806949M

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.].