Axisymmetric vortex method for low-mach number, diffusion-controlled combustion
Journal of Computational Physics
Modified interpolation kernels for treating diffusion and remeshing in vortex methods
Journal of Computational Physics
Calculation of isotropic turbulence using a pure Lagrangian vortex method
Journal of Computational Physics
Analyzing BlobFlow: A Case Study Using Model Checking to Verify Parallel Scientific Software
Proceedings of the 15th European PVM/MPI Users' Group Meeting on Recent Advances in Parallel Virtual Machine and Message Passing Interface
A fast resurrected core-spreading vortex method with no-slip boundary conditions
Journal of Computational Physics
Global field interpolation for particle methods
Journal of Computational Physics
A multi-moment vortex method for 2D viscous fluids
Journal of Computational Physics
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A basic core spreading vortex scheme is inconsistent but can be corrected with a splitting algorithm, yielding a deterministic and efficient grid-free method for viscous flows. The splitting algorithm controls the consistency error by maintaining small vortex core sizes. Routine analysis will show that the core spreading method coupled to this splitting process is convergent in $L^p$ spaces. Analysis of the linearized residual operator establishes the uniform convergence of this method when the exact flow field is known. A sequence of examples demonstrates the sensitivity of the method to numerical parameters as the computed solution converges to the exact solution. These experimental results agree with the linear convergence theory. Finally, direct comparisons between the traditional random walk vortex method and the new method indicate that the new method has several advantages while requiring the same computational effort.