Local Bases for Model‐reduced Smoke Simulations. (13th July 2020)

• Record Type: Journal Article
• Authors: Mercier, Olivier; Nowrouzezahrai, Derek
• Is Part Of: Computer graphics forum. Volume 39:Number 2(2020)
• Page Start: 9
• Page End: 22
• Publication Date: 2020-07-13
• Subjects: CCS Concepts -- Computing methodologies → Physical simulation; Computer graphics -- Periodicals; 006.605
• DOI: 10.1111/cgf.13908
• Languages: English
• ISSNs: 0167-7055

Abstract

Abstract: 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.