Loading...
Please wait, while we are loading the content...
Similar Documents
First-order hyperbolic system method for time-dependent advection-diffusion problems
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Mazaheri, Alireza Nishikawa, Hiroaki |
| Copyright Year | 2014 |
| Description | A time-dependent extension of the first-order hyperbolic system method for advection-diffusion problems is introduced. Diffusive/viscous terms are written and discretized as a hyperbolic system, which recovers the original equation in the steady state. The resulting scheme offers advantages over traditional schemes: a dramatic simplification in the discretization, high-order accuracy in the solution gradients, and orders-of-magnitude convergence acceleration. The hyperbolic advection-diffusion system is discretized by the second-order upwind residual-distribution scheme in a unified manner, and the system of implicit-residual-equations is solved by Newton's method over every physical time step. The numerical results are presented for linear and nonlinear advection-diffusion problems, demonstrating solutions and gradients produced to the same order of accuracy, with rapid convergence over each physical time step, typically less than five Newton iterations. |
| File Size | 812443 |
| Page Count | 35 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_20140012708 |
| Archival Resource Key | ark:/13960/t73v4kc2q |
| Language | English |
| Publisher Date | 2014-03-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Finite Volume Method Nonlinearity Iterative Solution Newton Methods Upwind Schemes Mathematics Hyperbolic Differential Equations Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
