A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
A continuum method for modeling surface tension
Journal of Computational Physics
Computing minimal surfaces via level set curvature flow
Journal of Computational Physics
Effects of the computational time step on numerical solutions of turbulent flow
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
A PDE-based fast local level set method
Journal of Computational Physics
A boundary condition capturing method for Poisson's equation on irregular domains
Journal of Computational Physics
Journal of Computational Physics
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
hypre: A Library of High Performance Preconditioners
ICCS '02 Proceedings of the International Conference on Computational Science-Part III
A conservative level set method for two phase flow
Journal of Computational Physics
Journal of Computational Physics
A sharp interface method for incompressible two-phase flows
Journal of Computational Physics
High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set
Journal of Computational Physics
Journal of Computational Physics
A conservative level set method for two phase flow II
Journal of Computational Physics
A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids
Journal of Computational Physics
Journal of Computational Physics
A spectrally refined interface approach for simulating multiphase flows
Journal of Computational Physics
An accurate adaptive solver for surface-tension-driven interfacial flows
Journal of Computational Physics
A parallel Eulerian interface tracking/Lagrangian point particle multi-scale coupling procedure
Journal of Computational Physics
Journal of Computational Physics
An interface capturing method for the simulation of multi-phase compressible flows
Journal of Computational Physics
Journal of Computational Physics
A nonlinear PSE method for two-fluid shear flows with complex interfacial topology
Journal of Computational Physics
SIAM Journal on Scientific Computing
Short note: A new contact line treatment for a conservative level set method
Journal of Computational Physics
A hybrid level set-volume constraint method for incompressible two-phase flow
Journal of Computational Physics
A 3D Unsplit Forward/Backward Volume-of-Fluid Approach and Coupling to the Level Set Method
Journal of Computational Physics
An energy preserving formulation for the simulation of multiphase turbulent flows
Journal of Computational Physics
Journal of Computational Physics
A discontinuous Galerkin conservative level set scheme for interface capturing in multiphase flows
Journal of Computational Physics
A gradient augmented level set method for unstructured grids
Journal of Computational Physics
A localized re-initialization equation for the conservative level set method
Journal of Computational Physics
Hi-index | 31.53 |
This paper presents a novel methodology for simulating incompressible two-phase flows by combining an improved version of the conservative level set technique introduced in [E. Olsson, G. Kreiss, A conservative level set method for two phase flow, J. Comput. Phys. 210 (2005) 225-246] with a ghost fluid approach. By employing a hyperbolic tangent level set function that is transported and re-initialized using fully conservative numerical schemes, mass conservation issues that are known to affect level set methods are greatly reduced. In order to improve the accuracy of the conservative level set method, high order numerical schemes are used. The overall robustness of the numerical approach is increased by computing the interface normals from a signed distance function reconstructed from the hyperbolic tangent level set by a fast marching method. The convergence of the curvature calculation is ensured by using a least squares reconstruction. The ghost fluid technique provides a way of handling the interfacial forces and large density jumps associated with two-phase flows with good accuracy, while avoiding artificial spreading of the interface. Since the proposed approach relies on partial differential equations, its implementation is straightforward in all coordinate systems, and it benefits from high parallel efficiency. The robustness and efficiency of the approach is further improved by using implicit schemes for the interface transport and re-initialization equations, as well as for the momentum solver. The performance of the method is assessed through both classical level set transport tests and simple two-phase flow examples including topology changes. It is then applied to simulate turbulent atomization of a liquid Diesel jet at Re=3000. The conservation errors associated with the accurate conservative level set technique are shown to remain small even for this complex case.