TITLE:
Spectral Element Simulation of Rotating Particle in Viscous Flow
AUTHORS:
Don Liu, Ning Zhang
KEYWORDS:
Spectral Element Method, High Order Method, Orthogonal Polynomials, Particle Fluid Intereaction, Navier-Stokes Equations, Translation and Rotation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.7,
July
25,
2016
ABSTRACT: Spectral element
methods (SEM) are superior to general finite element methods (FEM) in achieving
high order accuracy through p-type refinement. Owing to orthogonal polynomials
in both expansion and test functions, the discretization errors in SEM could be
reduced exponentially to machine zero so that the spectral convergence rate can
be achieved. Inherited the advantage of FEM, SEM can enhance resolution via
both h-type and p-type mesh-refinement. A penalty method was utilized to
compute force fields in particulate flows involving freely moving rigid
particles. Results were analyzed and comparisons were made; therefore, this
penalty-implemented SEM was proven to be a viable method for two-phase flow
problems.