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Regularized chapman-enskog expansion for scalar conservation laws
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Tadmor, Eitan Schochet, Steven |
| Copyright Year | 1990 |
| Description | Rosenau has recently proposed a regularized version of the Chapman-Enskog expansion of hydrodynamics. This regularized expansion resembles the usual Navier-Stokes viscosity terms at law wave-numbers, but unlike the latter, it has the advantage of being a bounded macroscopic approximation to the linearized collision operator. The behavior of Rosenau regularization of the Chapman-Enskog expansion (RCE) is studied in the context of scalar conservation laws. It is shown that thie RCE model retains the essential properties of the usual viscosity approximation, e.g., existence of traveling waves, monotonicity, upper-Lipschitz continuity..., and at the same time, it sharpens the standard viscous shock layers. It is proved that the regularized RCE approximation converges to the underlying inviscid entropy solution as its mean-free-path epsilon approaches 0, and the convergence rate is estimated. |
| File Size | 717661 |
| Page Count | 22 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19910004653 |
| Archival Resource Key | ark:/13960/t8z944s1r |
| Language | English |
| Publisher Date | 1990-10-01 |
| Access Restriction | Open |
| Subject Keyword | Theoretical Mathematics Viscosity Mean Free Path Chapman-enskog Theory Hydrodynamics Traveling Waves Entropy Convergence Shock Layers Conservation Laws Navier-stokes Equation Monotone Functions Collisions Inviscid Flow Scalars Mathematical Models 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 |
