An unconditionally stable MacCormack method

A Selle, R Fedkiw, B Kim, Y Liu, J Rossignac - Journal of Scientific …, 2008 - Springer
The back and forth error compensation and correction (BFECC) method advects the solution
forward and then backward in time. The result is compared to the original data to estimate …

A survey of temporal antialiasing techniques

L Yang, S Liu, M Salvi - Computer graphics forum, 2020 - Wiley Online Library
Temporal Antialiasing (TAA), formally defined as temporally‐amortized supersampling, is
the most widely used antialiasing technique in today's real‐time renderers and game …

Covector fluids

MS Nabizadeh, S Wang, R Ramamoorthi… - ACM Transactions on …, 2022 - dl.acm.org
The animation of delicate vortical structures of gas and liquids has been of great interest in
computer graphics. However, common velocity-based fluid solvers can damp the vortical …

[PDF][PDF] FlowFixer: Using BFECC for Fluid Simulation.

BM Kim, Y Liu, I Llamas, J Rossignac - NPH, 2005 - diglib.eg.org
Abstract Back and Forth Error Compensation and Correction (BFECC) was recently
developed for interface computation by using the level set method. We show that it can be …

A novel algorithm for incompressible flow using only a coarse grid projection

M Lentine, W Zheng, R Fedkiw - ACM Transactions on Graphics (TOG), 2010 - dl.acm.org
Large scale fluid simulation can be difficult using existing techniques due to the high
computational cost of using large grids. We present a novel technique for simulating detailed …

Simulation of bubbles in foam with the volume control method

B Kim, Y Liu, I Llamas, X Jiao, J Rossignac - ACM Transactions on …, 2007 - dl.acm.org
Liquid and gas interactions often produce bubbles that stay for a long time without bursting
on the surface, making a dry foam structure. Such long lasting bubbles simulated by the …

An enriched finite element/level-set method for simulating two-phase incompressible fluid flows with surface tension

MR Hashemi, PB Ryzhakov, R Rossi - Computer Methods in Applied …, 2020 - Elsevier
A finite element method is introduced to simulate surface tension dominated flow of two
immiscible fluids featuring an enriched space for capturing both strong and weak pressure …

An unconditionally stable fully conservative semi-Lagrangian method

M Lentine, JT Grétarsson, R Fedkiw - Journal of computational physics, 2011 - Elsevier
Semi-Lagrangian methods have been around for some time, dating back at least to [3].
Researchers have worked to increase their accuracy, and these schemes have gained …

Eulerian adaptive finite-difference method for high-velocity impact and penetration problems

PT Barton, R Deiterding, D Meiron, D Pullin - Journal of Computational …, 2013 - Elsevier
Owing to the complex processes involved, faithful prediction of high-velocity impact events
demands a simulation method delivering efficient calculations based on comprehensively …

Advections with significantly reduced dissipation and diffusion

BM Kim, Y Liu, I Llamas… - IEEE transactions on …, 2006 - ieeexplore.ieee.org
Back and forth error compensation and correction (BFECC) was recently developed for
interface computation using a level set method. We show that BFECC can be applied to …