Artificial compressibility, characteristics-based schemes for variable-density, incompressible, multispecies flows: Part II. Multigrid implementation and numerical tests

摘要: The paper presents an investigation of the accuracy and efficiency artificial compressibility, characteristics-based (CB) schemes for variable-density incompressible flows. CB have been implemented in conjunction with a multigrid method accelerating numerical convergence fourth-order, explicit Runge-Kutta integration governing equations time. implementation is obtained first-, second- third-order interpolation formulas calculating variables at cell faces computational volume. are examined against analytical experimental results diffusion broadening two- three-dimensional microfluidic channels, problem that has motivated development present methods. Moreover, unsteady, inviscid simulations performed mixing layer. computations revealed depend on scheme design. best rates were exhibited by conservative scheme, which fully formulation variable-density, equations.