Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
A new class of iterative methods for nonselfadjoint or indefinite problems
SIAM Journal on Numerical Analysis
A novel two-grid method for semilinear elliptic equations
SIAM Journal on Scientific Computing
Improved convergence to the steady state of the Euler equations by enhanced wave propagation
Journal of Computational Physics
Analysis of robust multigrid methods for steady viscous low Mach number flows
Journal of Computational Physics
Performance of under-resolved two-dimensional incompressible flow simulations, II
Journal of Computational Physics
Journal of Computational Physics
A nonlinear multigrid method for the three-dimensional incompressible Navier-Stokes equations
Journal of Computational Physics
Journal of Computational Physics
Acceleration of multigrid flow computations through dynamic adaptation of the smoothing procedure
Journal of Computational Physics
On spurious vortical structures
Journal of Computational Physics
An hybrid finite volume-finite element method for variable density incompressible flows
Journal of Computational Physics
On stability condition for bifluid flows with surface tension: Application to microfluidics
Journal of Computational Physics
Multidimensional upwinding for incompressible flows based on characteristics
Journal of Computational Physics
A hybrid molecular continuum method using point wise coupling
Advances in Engineering Software
Hi-index | 31.47 |
The paper presents an investigation of the accuracy and efficiency of artificial compressibility, characteristics-based (CB) schemes for variable-density incompressible flows. The CB schemes have been implemented in conjunction with a multigrid method for accelerating numerical convergence and a fourth-order, explicit Runge-Kutta method for the integration of the governing equations in time. The implementation of the CB schemes is obtained in conjunction with first-, second- and third-order interpolation formulas for calculating the variables at the cell faces of the computational volume. The accuracy and efficiency of the schemes are examined against analytical and experimental results for diffusion broadening in two- and three-dimensional microfluidic channels, a problem that has motivated the development of the present methods. Moreover, unsteady, inviscid simulations have been performed for variable-density mixing layer. The computations revealed that accuracy and efficiency depend on the CB scheme design. The best multigrid convergence rates were exhibited by the conservative CB scheme, which is obtained by the fully conservative formulation of the variable-density, incompressible equations.