 A stable tensor-based method for controlled fluid simulationsMarcelo Caniato Renhe, Marcelo Bernardes Vieira and Claudio Esperança Applied Mathematics and Computation, 2019, vol. 343, issue C, 195-213 Abstract: The association between fluids and tensors can be observed in some practical situations, such as diffusion tensor imaging and permeable flow. For simulation purposes, tensors may be used to constrain the fluid flow along specific directions. This requires a customized mathematical model for describing fluid motion influenced by tensor. In this work, we propose a formulation for fluid dynamics to locally change momentum, deflecting the fluid along intended paths. Building upon classical computer graphics approaches for fluid simulation, the numerical method is altered to accommodate the new formulation. Gaining control over fluid diffusion can also aid on visualization of tensor fields, where the detection and highlighting of paths of interest is often desired. Experiments show that the fluid adequately follows meaningful paths induced by the underlying tensor field, resulting in a method that is numerically stable and suitable for visualization and animation purposes. Keywords: Fluid simulation; Tensor field; Fluid control (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:343:y:2019:i:c:p:195-213 DOI: 10.1016/j.amc.2018.09.051 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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