A GENERALIZED SCHEME OF THE CHARACTERISTIC BASED SPLIT (CBS) ALGORITHM FOR INCOMPRESSIBLE NON-ISOTHERMAL NON-NEWTONIAN FLUID FLOWS

摘要

A generalized scheme of the Characteristic Based Split (CBS) algorithm for numerical simulation of incompressible non-isothermal non-Newtonian fluid flows is presented. The generalization is twofold: one is that it extends the CBS algorithm from Eulerian description to Arbitrary Lagrangian-Eulerian (ALE) description;the other is that two parameters a and p are introduced such that the classical CBS algorithm is a special case of this generalized scheme with a=1 and β=0. Numerical results of the non-isothermal Poisseuille flow problem with the power-law fluid model show that, by tuning these two introduced parameters, such generalized scheme may perform better than the classical CBS algorithm in a wide range of Reynolds and thermal Peclet numbers. With the adaptive coupled finite element (FE) and meshfree (MF) method for spatial discretizations, the performance and the capability of the proposed scheme is further validated by the thermal 4:1 contraction and the injection moulding problems.