Simulation of Rayleigh-Taylor flows using vortex blobs
Journal of Computational Physics
Numerical simulations of the Rayleigh-Taylor instability
Journal of Computational Physics
Numerical simulation of a thermally stratified shear layer using the vortex element method
Journal of Computational Physics
Linear analysis of the Vortex-in-cell algorithm applied to Rayleigh-Taylor instability
Journal of Computational Physics
Three-dimensional vortex simulation of rollup and entrainment in a shear layer
Journal of Computational Physics
Simulation of rollup and mixing in Rayleigh-Taylor flow using the transport-element method
Journal of Computational Physics
Journal of Computational Physics
Three-dimensional vortex methods for particle-laden flows with two-way coupling
Journal of Computational Physics
A particle method and adaptive treecode for vortex sheet motion in three-dimensional flow
Journal of Computational Physics
Journal of Computational Physics
Modified interpolation kernels for treating diffusion and remeshing in vortex methods
Journal of Computational Physics
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This paper describes progress in several areas related to three-dimensional vortex methods and their application to multiphysics problems. The first is the solution of a generic scalar transport equation by advecting and diffusing the scalar gradient along a particle trajectory and onto a mesh, respectively, and recovering the scalar values using a Biot-Savart-like summation. The second is the accurate, high-resolution calculation of the velocity gradient using a fast treecode, which avoids using kinematic relations between the evolution of the gradients and the distortion of the flow map. The same tree structure is used to compute all the variables of interest and those required during the integration of the governing equations. Next, we apply our modified interpolation kernel algorithm for treating diffusion and remeshing to maintain long time accuracy. The coupling between vorticity transport and that of a dynamic scalar, in this case the temperature or density in a gravitational field, is manifested by the generation of vorticity. We demonstrate the performance of the multiphysics algorithm by solving a number of buoyant flow problems.