Constraint Fluids

Bodin, Kenneth; Lacoursière, Claude; Servin, Martin

doi:10.1109/tvcg.2011.29

Cited by 57 publications

(38 citation statements)

References 66 publications

(54 reference statements)

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“…(24)- (26), and the stabilisation constraint in Eqs. (29)- (31). The Jacobians can be factored to a constant matrix that can be pre-computed, multiplied with current particle displacements.…”

Section: Discussionmentioning

confidence: 99%

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Particle-based solid for nonsmooth multidomain dynamics

Nordberg

Servin

2017

Comp. Part. Mech.

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A method for simulation of elastoplastic solids in multibody systems with nonsmooth and multidomain dynamics is developed. The solid is discretised into pseudoparticles using the meshfree moving least squares method for computing the strain tensor. The particle's strain and stress tensor variables are mapped to a compliant deformation constraint. The discretised solid model thus fit a unified framework for nonsmooth multidomain dynamics simulations including rigid multibodies with complex kinematic constraints such as articulation joints, unilateral contacts with dry friction, drivelines, and hydraulics. The nonsmooth formulation allows for impact impulses to propagate instantly between the rigid multibody and the solid. Plasticity is introduced through an associative perfectly plastic modified Drucker-Prager model. The elastic and plastic dynamics are verified for simple test systems, and the capability of simulating tracked terrain vehicles driving on a deformable terrain is demonstrated.

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Section: Discussionmentioning

confidence: 99%

“…This becomes straightforward when the regularisation is introduced by potential energy as quadratic functions in g, i.e. U ε (q) = 1 2 g T ε −1 g. This has been exploited in previous work to constraint-based mod-elling of lumped element beams [29], wires [30], meshfree fluids [31], and granular material [8].…”

Section: Time Discretisationmentioning

confidence: 99%

Particle-based solid for nonsmooth multidomain dynamics

Nordberg

Servin

2017

Comp. Part. Mech.

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“…Macklin and Müller [2013] have shown that PBD can be used to simulate fluids. Borrowing the idea of a density estimator from SPH ( [Monaghan 1992;Monaghan 1994]), fluid incompressibility is enforced with a density constraint [Bodin et al 2012]. Position based fluids (PBF) provides another choice for fluid simulation via a particle system.…”

Section: Related Workmentioning

confidence: 99%

“…Maclin and Müller [2013] extended this method to fluid simulation. Following the work by Bodin et al [2012], the density constraint on the i-th particle is defined as follows:…”

Section: Position Based Fluidsmentioning

confidence: 99%

Fast multiple-fluid simulation using Helmholtz free energy

et al. 2015

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Figure 1: Egg Mixture. In simulating the stirring of 3 eggs by a blender, the resulting simulation presents visually plausible mixing results. This mixing effect is achieved using our novel "extended mobility" formulation of the Navier-Stokes-Cahn-Hilliard Model. AbstractMultiple-fluid interaction is an interesting and common visual phenomenon we often observe. In this paper, we present an energybased Lagrangian method that expands the capability of existing multiple-fluid methods to handle various phenomena, such as extraction, partial dissolution, etc. Based on our user-adjusted Helmholtz free energy functions, the simulated fluid evolves from high-energy states to low-energy states, allowing flexible capture of various mixing and unmixing processes. We also extend the original Cahn-Hilliard equation to be better able to simulate complex fluid-fluid interaction and rich visual phenomena such as motionrelated mixing and position based pattern. Our approach is easily integrated with existing state-of-the-art smooth particle hydrodynamic (SPH) solvers and can be further implemented on top of the position based dynamics (PBD) method, improving the stability and incompressibility of the fluid during Lagrangian simulation under large time steps. Performance analysis shows that our method is at least 4 times faster than the state-of-the-art multiple-fluid method.Examples are provided to demonstrate the new capability and effectiveness of our approach.

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“…The weakly compressible SPH [7] is an advanced method achieving nearly incompressible flow which is a key requirement for practical applications. Later studies such as the predictive-corrective incompressible SPH [8], the constraint fluids [9] and the position based fluids [10] also enforce incompressibility and has been used mainly in computer graphics. The MPS is another approach to accomplish incompressibility with high accuracy and has been successfully applied to a variety of engineering applications.…”

Section: Introductionmentioning

confidence: 99%

Moving particle semi-implicit method for fluid simulation with implicitly defined deforming obstacles

Kanetsuki

Nakata

2015

JASSE

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Abstract. In this paper, we present a particle-based fluid simulation method with deforming obstacles. For defining the geometric information of time-varying obstacles, we employ the implicit function form that varies along the time axis. Our fluid simulation is based on the Moving Particle Semi-implicit (MPS) method, one of the typical particle-based methods for incompressible flow, and we add a new formulation for implicitly defined deforming obstacles. Although many of the particle-based algorithms require a set of particles on the obstacles, our method works without generating particles on the obstacles. We define the particle motion at the vicinity of the obstacles and generate a new algorithm specific to the implicit deforming obstacles by incorporating approximations in the processes of determining particle forces affected by the obstacles.

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Constraint Fluids

Cited by 57 publications

References 66 publications

Particle-based solid for nonsmooth multidomain dynamics

Particle-based solid for nonsmooth multidomain dynamics

Fast multiple-fluid simulation using Helmholtz free energy

Moving particle semi-implicit method for fluid simulation with implicitly defined deforming obstacles

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