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Low-storage, explicit runge-kutta schemes for the compressible navier-stokes equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Kennedy, Chistopher A. Carpenter, Mark H. Lewis, R. Michael |
| Copyright Year | 1999 |
| Description | The derivation of storage explicit Runge-Kutta (ERK) schemes has been performed in the context of integrating the compressible Navier-Stokes equations via direct numerical simulation. Optimization of ERK methods is done across the broad range of properties, such as stability and accuracy efficiency, linear and nonlinear stability, error control reliability, step change stability, and dissipation/dispersion accuracy, subject to varying degrees of memory economization. Following van der Houwen and Wray, 16 ERK pairs are presented using from two to five registers of memory per equation, per grid point and having accuracies from third- to fifth-order. Methods have been assessed using the differential equation testing code DETEST, and with the 1D wave equation. Two of the methods have been applied to the DNS of a compressible jet as well as methane-air and hydrogen-air flames. Derived 3(2) and 4(3) pairs are competitive with existing full-storage methods. Although a substantial efficiency penalty accompanies use of two- and three-register, fifth-order methods, the best contemporary full-storage methods can be pearl), matched while still saving two to three registers of memory. |
| File Size | 2648608 |
| Page Count | 56 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19990064369 |
| Archival Resource Key | ark:/13960/t4qk2c101 |
| Language | English |
| Publisher Date | 1999-06-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Methane Navier-stokes Equation Errors Flames Stability Direct Numerical Simulation Differential Equations Wave Equations Runge-kutta Method Controllability Reliability Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
