Multi-scale vorticle fluids

An ongoing challenge in fluid animation is the faithful preservation of vortical details, which impacts the visual depiction of flows. We propose the Impulse Particle‐In‐Cell (IPIC) method, a novel extension of the popular Affine Particle‐In‐Cell (APIC) method that makes use of the impulse gauge formulation of the fluid equations. Our approach performs a coupled advection‐stretching during particle‐based advection to better preserve circulation and vortical details. The associated algorithmic changes are simple and straightforward to implement, and our results demonstrate that the proposed method is able to achieve more energetic and visually appealing smoke and liquid flows than APIC.

Section: Related Workmentioning

confidence: 99%

The Impulse Particle‐In‐Cell Method

Sancho,

Tang,

Batty

et al. 2024

“…Since our method does not belong to the vortex method, we will only list some interesting work here. Such methods include [SRF05]; [PK05]; [ZB14]; [Ang17]; [PCK*19]; [YXZ*21] and so on.…”

Section: Related Workmentioning

confidence: 99%

A Second‐Order Explicit Pressure Projection Method for Eulerian Fluid Simulation

Jiang

Shen

Gong

et al. 2022

In this paper, we propose a novel second‐order explicit midpoint method to address the issue of energy loss and vorticity dissipation in Eulerian fluid simulation. The basic idea is to explicitly compute the pressure gradient at the middle time of each time step and apply it to the velocity field after advection. Theoretically, our solver can achieve higher accuracy than the first‐order solvers at similar computational cost. On the other hand, our method is twice and even faster than the implicit second‐order solvers at the cost of a small loss of accuracy. We have carried out a large number of 2D, 3D and numerical experiments to verify the effectiveness and availability of our algorithm.

“…Several methods use the vorticity formulation of the Navier-Stokes equations to simulate fluid motion. Vorticity representations include point primitives [Ang17], filaments [ANSN06,WP10], and sheets [PTG12]. These elements are advected by the flow and fully represent the fluid motion.…”

Section: Previous Workmentioning

confidence: 99%

Local Bases for Model‐reduced Smoke Simulations

Mercier

Nowrouzezahrai

2020

We present a flexible model reduction method for simulating incompressible fluids. We derive a novel vector field basis composed of localized basis flows which have simple analytic forms and can be tiled on regular lattices, avoiding the use of complicated data structures or neighborhood queries. Local basis flow interactions can be precomputed and reused to simulate fluid dynamics on any simulation domain without additional overhead. We introduce heuristic simulation dynamics tailored to our basis and derived from a projection of the Navier‐Stokes equations to produce physically plausible motion, exposing intuitive parameters to control energy distribution across scales. Our basis can adapt to curved simulation boundaries, can be coupled with dynamic obstacles, and offers simple adjustable trade‐offs between speed and visual resolution.