Premium
On a zero equation model of turbulence
Author(s) -
Turner James C.
Publication year - 1989
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690050103
Subject(s) - mathematics , zero (linguistics) , turbulence modeling , closure (psychology) , turbulence , compressibility , reynolds averaged navier–stokes equations , navier–stokes equations , pressure correction method , mathematical analysis , function (biology) , physics , mechanics , philosophy , linguistics , evolutionary biology , economics , market economy , biology
In this paper we study a widely used zero equation model of turbulence. The governing equations are derived by applying to the incompressible Navier‐Stokes equations the Reynolds time averaging procedure. We achieve closure by employing the eddy viscosity concept. Using the Implicit Function Theorem we obtain an existence and uniquencess result. We also discuss the existence of nonsingular solutions. Finally, we present an algorithm for solving the modeled equations.