Non-Newtonian fluid simulation method and device

Abstract

The invention provides a non-Newtonian fluid simulation method and device, and the method comprises the steps: respectively simulating a liquid phase and a suspended particle phase of a non-Newtonian fluid based on a continuity equation and a momentum equation; coupling the liquid phase and the suspended particle phase through a fluid resistance formula and a fluid pressure formula, and acquiring a two-phase suspension model with the property between the liquid phase and the suspended particle phase; constructing an elastic-plastic constitutive model based on a suspended particle phase according to the plastic shear stress and the volume change of the two-phase suspension model; constructing a friction function according to the particle skeleton structure change of the two-phase suspension model, and adding the friction function into the elastic-plastic constitutive model to simulate the rheological characteristics of the non-Newtonian fluid. According to the method, the real physical mechanism of the bottom layer is modeled, so that the simulation of the non-Newtonian property is realized, and physically interpretable parameter control is provided, so that different types of non-Newtonian fluids are uniformly simulated, and the rheological characteristics of the non-Newtonian fluids are accurately described.

Description

technical field [0001] The invention relates to the technical field of computer graphics fluid simulation and rendering, in particular to a non-Newtonian fluid simulation method and device. Background technique [0002] Non-Newtonian fluids are different from ordinary fluids in that their viscosity changes with the shear flow, and they are widely used in daily life and industrial applications, such as ketchup, butter and various lubricants. Non-Newtonian fluids are attracting increasing attention in the field of graphics due to their versatility and rich visual effects. Compared with general Newtonian fluids, the complex rheological properties of non-Newtonian fluids have not been fully understood, and their highly nonlinear behavior also poses a major challenge to simulation. [0003] The current common practice in the industry is to use an exponential model to describe non-Newtonian fluids, for example, the Herschel-Bulkley model, Among them, τ is the shear stress, τ 0...

AI Technical Summary

Problems solved by technology

[0004] However, these existing methods treat non-Newtonian fluid as a uniform single fluid, ignoring its internal microstructure

However, most non-Newtonian fluids belong to suspensions, that is, a complex system formed by tiny particles suspended in Newtonian fluids. Simulate the characteristics of non-Newtonian fluid

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