Development of the Mask method for incompressible unsteady flows
Journal of Computational Physics
Computer Methods in Applied Mechanics and Engineering
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Proceedings of the fourth international conference on Spectral and high order methods (ICOSAHOM 1998)
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
Journal of Computational Physics
Combined immmersed-boundary finite-difference methods for three-dimensional complex flow simulations
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
The constrained interpolation profile method for multiphase analysis
Journal of Computational Physics
Journal of Computational Physics
A critical analysis of Rayleigh-Taylor growth rates
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Direct simulation of the motion of neutrally buoyant circular cylinders in plane Poiseuille flow
Journal of Computational Physics
Velocity-Correction Projection Methods for Incompressible Flows
SIAM Journal on Numerical Analysis
Force-coupling method for particulate two-phase flow: stokes flow
Journal of Computational Physics
A fictitious domain method for particulate flows with heat transfer
Journal of Computational Physics
Fictitious Domain approach with hp-finite element approximation for incompressible fluid flow
Journal of Computational Physics
Force-coupling method for flows with ellipsoidal particles
Journal of Computational Physics
A Fictitious Domain, parallel numerical method for rigid particulate flows
Journal of Computational Physics
Simulating the dynamics of fluid-ellipsoid interactions
Computers and Structures
A spectral fictitious domain method with internal forcing for solving elliptic PDEs
Journal of Computational Physics
Hi-index | 31.47 |
We extend the formulation of the distributed Lagrange multiplier (DLM) approach for particulate flows to high-order methods within the spectral/hp element framework. We implement the rigid-body motion constraint inside the particle via a penalty method. The high-order DLM method demonstrates spectral convergence rate, i.e. discretization errors decrease exponentially as the order of spectral polynomials increases. We provide detailed comparisons between the spectral DLM method, direct numerical simulations, and the force coupling method for a number of 2D and 3D benchmark flow problems. We also validate the spectral DLM method with available experimental data for a transient problem. The new DLM method can potentially be very effective in many-moving body problems, where a smaller number of grid points is required in comparison with low-order methods.