This article presents numerical analysis and practical considerations for three-dimensional flow computation using an implicit immersed boundary method. The Euler equations, or half a step of the Navier-Stokes equations when using fractional step algorithms, are investigated in their vorticity formulation. The context of flow computation around an ...
Published in Computational Mathematics and Mathematical Physics
A fast algorithm is proposed for solving the N-body problem arising in flow simulation when the flow is represented as a set of many interacting vortex elements. The algorithm is used to compute the flow over a circular cylinder at high Reynolds numbers.
The simulation of fluid flows using particles is becoming increasingly popular in Computer Graphics (CG). The grid-free character of particles, the flexibility in handling complex flow configurations and the possibility to obtain visually realistic results with a small number of computational elements are some of the main reasons for the success of...
The paper presents a two-dimensional immersed interface for the Vortex-In-Cell (VIC) method for simulation of flows past bodies of complex geometry. The particle-mesh VIC algorithm is augmented by a local particle correction term in a Particle-Particle Particle-Mesh (P3M) context to resolve sub-grid scales incurred by the presence of the immersed i...
The paper presents a two-dimensional immersed interface for the Vortex-In-Cell (VIC) method for simulation of flows past bodies of complex geometry. The particle-mesh VIC algorithm is augmented by a local particle correction term in a Particle-Particle Particle-Mesh (P3M) context to resolve sub-grid scales incurred by the presence of the immersed i...
The paper presents a two-dimensional immersed interface for the Vortex-In-Cell (VIC) method for simulation of flows past bodies of complex geometry. The particle-mesh VIC algorithm is augmented by a local particle correction term in a Particle-Particle Particle-Mesh (P3M) context to resolve sub-grid scales incurred by the presence of the immersed i...
The paper presents a two-dimensional immersed interface for the Vortex-In-Cell (VIC) method for simulation of flows past bodies of complex geometry. The particle-mesh VIC algorithm is augmented by a local particle correction term in a Particle-Particle Particle-Mesh (P3M) context to resolve sub-grid scales incurred by the presence of the immersed i...
The paper presents a two-dimensional immersed interface for the Vortex-In-Cell (VIC) method for simulation of flows past bodies of complex geometry. The particle-mesh VIC algorithm is augmented by a local particle correction term in a Particle-Particle Particle-Mesh (P3M) context to resolve sub-grid scales incurred by the presence of the immersed i...
The paper presents a two-dimensional immersed interface for the Vortex-In-Cell (VIC) method for simulation of flows past bodies of complex geometry. The particle-mesh VIC algorithm is augmented by a local particle correction term in a Particle-Particle Particle-Mesh (P3M) context to resolve sub-grid scales incurred by the presence of the immersed i...
The paper presents a two-dimensional immersed interface for the Vortex-In-Cell (VIC) method for simulation of flows past bodies of complex geometry. The particle-mesh VIC algorithm is augmented by a local particle correction term in a Particle-Particle Particle-Mesh (P3M) context to resolve sub-grid scales incurred by the presence of the immersed i...
