Front tracking for gas dynamics
Journal of Computational Physics
Surface tension and viscosity with Lagrangian hydrodynamics on a triangular mesh
Journal of Computational Physics
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
The interaction of shock waves with fluid interfaces
Advances in Applied Mathematics
Computing interface motion in compressible gas dynamics
Journal of Computational Physics
A continuum method for modeling surface tension
Journal of Computational Physics
An interface tracking method for hyperbolic systems of conservation laws
Applied Numerical Mathematics
Why nonconservative schemes converge to wrong solutions: error analysis
Mathematics of Computation
Modelling merging and fragmentation in multiphase flows with SURFER
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Multicomponent flow calculations by a consistent primitive algorithm
Journal of Computational Physics
Time integration of three-dimensional numerical transport models
Applied Numerical Mathematics - Special issue: a festschrift to honor Professor Robert Vichnevetsky on his 65th birthday
One-dimensional front tracking based on high resolution wave propagation methods
SIAM Journal on Scientific Computing
Two-dimensional front tracking based on high resolution wave propagation methods
Journal of Computational Physics
A variational level set approach to multiphase motion
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
Three-Dimensional Front Tracking
SIAM Journal on Scientific Computing
An adaptive level set approach for incompressible two-phase flows
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
The point-set method: front-tracking without connectivity
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
Interface Tracking for Axisymmetric Flows
SIAM Journal on Scientific Computing
Resolution of high order WENO schemes for complicated flow structures
Journal of Computational Physics
Ghost fluid method for strong shock impacting on material interface
Journal of Computational Physics
Conservative Front Tracking with Improved Accuracy
SIAM Journal on Numerical Analysis
Accurate representation of surface tension using the level contour reconstruction method
Journal of Computational Physics
The ghost fluid method for compressible gas-water simulation
Journal of Computational Physics
A Real Ghost Fluid Method for the Simulation of Multimedium Compressible Flow
SIAM Journal on Scientific Computing
A sequel to AUSM, Part II: AUSM+-up for all speeds
Journal of Computational Physics
Journal of Computational Physics
Adaptive characteristics-based matching for compressible multifluid dynamics
Journal of Computational Physics
Journal of Scientific Computing
A conservative interface method for compressible flows
Journal of Computational Physics
A Conservative Front Tracking Method in N-Dimensions
Journal of Scientific Computing
The accuracy of the modified ghost fluid method for gas--gas Riemann problem
Applied Numerical Mathematics
High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Numerical prediction of interfacial instabilities: Sharp interface method (SIM)
Journal of Computational Physics
A front-tracking/ghost-fluid method for fluid interfaces in compressible flows
Journal of Computational Physics
An accurate adaptive solver for surface-tension-driven interfacial flows
Journal of Computational Physics
AZTEC: A front tracking code based on Godunov's method
Applied Numerical Mathematics
ENO schemes with subcell resolution
Journal of Computational Physics
Marker Redistancing/Level Set Method for High-Fidelity Implicit Interface Tracking
SIAM Journal on Scientific Computing
A Second-Order Accurate Conservative Front-Tracking Method in One Dimension
SIAM Journal on Scientific Computing
Accuracies and conservation errors of various ghost fluid methods for multi-medium Riemann problem
Journal of Computational Physics
SIAM Journal on Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.45 |
We present a conservative and consistent numerical method for solving the Navier-Stokes equations in flow domains that may be separated by any number of material interfaces, at arbitrarily-high density/viscosity ratios and acoustic-impedance mismatches, subjected to strong shock waves and flow speeds that can range from highly supersonic to near-zero Mach numbers. A principal aim is prediction of interfacial instabilities under superposition of multiple potentially-active modes (Rayleigh-Taylor, Kelvin-Helmholtz, Richtmyer-Meshkov) as found for example with shock-driven, immersed fluid bodies (locally oblique shocks)-accordingly we emphasize fidelity supported by physics-based validation, including experiments. Consistency is achieved by satisfying the jump discontinuities at the interface within a conservative 2nd-order scheme that is coupled, in a conservative manner, to the bulk-fluid motions. The jump conditions are embedded into a Riemann problem, solved exactly to provide the pressures and velocities along the interface, which is tracked by a level set function to accuracy of O(@Dx^5,@Dt^4). Subgrid representation of the interface is achieved by allowing curvature of its constituent interfacial elements to obtain O(@Dx^3) accuracy in cut-cell volume, with attendant benefits in calculating cell- geometric features and interface curvature (O(@Dx^3)). Overall the computation converges at near-theoretical O(@Dx^2). Spurious-currents are down to machine error and there is no time-step restriction due to surface tension. Our method is built upon a quadtree-like adaptive mesh refinement infrastructure. When necessary, this is supplemented by body-fitted grids to enhance resolution of the gas dynamics, including flow separation, shear layers, slip lines, and critical layers. Comprehensive comparisons with exact solutions for the linearized Rayleigh-Taylor and Kelvin-Helmholtz problems demonstrate excellent performance. Sample simulations of liquid drops subjected to shock waves demonstrate for the first time ab initio numerical prediction of the key interfacial features and phenomena found in recent experimental and theoretical studies of this class of problems [T.G. Theofanous, Aerobreakup of Newtonian and viscoelastic liquids, Ann. Rev. Fluid Mech. 43 (2011) 661-690.].