Inverse-Reynolds-dominance approach to transient fluid dynamics
نویسندگان
چکیده
We consider the evolution equations for bulk viscous pressure, diffusion current and shear tensor derived within second-order relativistic dissipative hydrodynamics from kinetic theory. By matching higher order moments directly to quantities, all terms which are of second in Knudsen number Kn vanish, leaving only $\mathcal{O}(\textrm{Re}^{-1} \textrm{Kn})$ $\mathcal{O}(\textrm{Re}^{-2})$ relaxation equations, where $\textrm{Re}^{-1}$ is inverse Reynolds number. therefore refer this scheme as Inverse-Reynolds-Dominance (IReD) approach. The remaining (non-vanishing) transport coefficients can be obtained exclusively collision matrix. This procedure fixes unambiguously times no longer related eigenvalues In particular, we find that corresponding higher-order grow their increases, thereby contradicting \textit{separation scales} paradigm. formal (up order) equivalence with standard DNMR approach proven connection between IReD usual ones established.
منابع مشابه
An inverse dynamics approach to face animation.
Muscle-based models of the human face produce high quality animation but rely on recorded muscle activity signals or synthetic muscle signals that are often derived by trial and error. This paper presents a dynamic inversion of a muscle-based model (Lucero and Munhall, 1999) that permits the animation to be created from kinematic recordings of facial movements. Using a nonlinear optimizer (Powe...
متن کاملDSC approach to Computational Fluid Dynamics
This paper presents the Dual Scattering Channel numerical solution of the Navier-Stokes Equations for quasi-incompressible flow in the OberbeckBoussinesq approximation. The implementation in hexahedral non-orthogonal mesh is outlined and a numerical example given which illustrates the approach. MSC-classes: 65C20, 65M06, 76D05 Westerham on March 6, 2008
متن کاملGauge Theoretic Approach to Fluid Dynamics
The Hamiltonian dynamics of a compressible inviscid fluid is formulated as a gauge theory. The idea of gauge equivalence is exploited to unify the study of apparantly distinct physical problems and solutions of new models can be generated from known fluid velocity profiles. PACS Numders: 47.10.+g, 03.40Gc, 11.15.-q
متن کاملLow Reynolds Number Flow Validation Using Computational Fluid Dynamics with Application to Micro Air Vehicles
Title of dissertation: LOW REYNOLDS NUMBER FLOW VALIDATION USING COMPUTATIONAL FLUID DYNAMICS WITH APPLICATION TO MICRO AIR VEHICLES Eric J. Schroeder, Master of Science, 2005 Thesis directed by: Associate Professor James D. Baeder Department of Aerospace Engineering The flow physics involved in low Reynolds number flow is investigated computationally to examine the fundamental flow properties ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical review
سال: 2022
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevd.106.016013