A moving least square reproducing kernel particle method for unified multiphase continuum simulation

Chen, Xiao-Song; Li, Chenfeng; Cao, Geng-Chen; Jiang, Yuntao; Hu, Shi‐Min

doi:10.1145/3414685.3417809

Cited by 17 publications

(9 citation statements)

References 65 publications

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“…where 𝜂 denotes the maximum of volumetric water content, and 𝑠 denotes the current saturation. Inspired by 32 , we use similar strategy to always compensate the solid elastic deformation 𝐅 𝐸 𝑠 to keep the overall 𝐅 unchanged when updating the pore deformation 𝐅 𝑤 . For example, as the pore saturation decreases, the pore deformation shrinks.…”

Section: Porous Hyperelasticitymentioning

confidence: 99%

“…We first evolve saturation and pore deformation with the updated 𝜃 𝑛+1 𝑝 . Inspired by 32 , we make the assumption that the total deformation gradient will not be affected by pore water changes thus causing no plastic deformation, we then update elastic deformation of solid so as to remain 𝐅 𝑛 𝑝 be invariant as:…”

Section: Moisture Discretizationmentioning

confidence: 99%

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MPM-driven Dynamic Desiccation Cracking and Curling in Unsaturated Soils

Chen

et al. 2023

Preprint

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Desiccation cracking of soil-like materials is a common phenomenon in natural dry environment, however, it remains a challenge to model and simulate complicated multi-physical processes inside the porous structure. With the goal of tracking such physical evolution accurately, we propose an MPM based method to simulate volumetric shrinkage and crack during moisture diffusion. At the physical level, we introduce Richards equations to evolve the dynamic moisture field to model evaporation and diffusion in unsaturated soils, with which a elastoplastic model is established to simulate strength changes and volumetric shrinkage via a novel saturation-based hardening strategy during plastic treatment. At the algorithmic level, we develop an MPM-fashion numerical solver for the proposed physical model and achieve stable yet efficient simulation towards delicate deformation and fracture. At the geometric level, we propose a correlating stretching criteria and a saturation-aware extrapolation scheme to extend existing surface reconstruction for MPM, producing visual compelling soil appearance. Finally, we manifest realistic simulation results based on the proposed method with several challenging scenarios, which demonstrates usability and efficiency of our method.

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Section: Porous Hyperelasticitymentioning

confidence: 99%

Section: Moisture Discretizationmentioning

confidence: 99%

MPM-driven Dynamic Desiccation Cracking and Curling in Unsaturated Soils

Chen

et al. 2023

Preprint

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“…Benefiting from above decomposition, the volumetric changes can be solved with the pore deformation

F_{w}

given by:

F_{w} = {((1 - η) (1 - s) + s)}^{1 / d} I,

where

η

denotes the maximum of volumetric water content, and

s

denotes the current saturation. Inspired by Chen et al, 32 we use similar strategy to always compensate the solid elastic deformation

F_{s}^{E}

to keep the overall

F

unchanged when updating the pore deformation

F_{w}

. For example, as the pore saturation decreases, the pore deformation shrinks.…”

Section: Constitutive Modelmentioning

confidence: 99%

“…We first evolve saturation and pore deformation with the updated

θ_{p}^{n + 1}

. Inspired by Chen et al, 32 we make the assumption that the total deformation gradient will not be affected by pore water changes thus causing no plastic deformation, we then update elastic deformation of solid so as to remain

F_{p}^{n}

be invariant as:

F_{p, s}^{E, *} = F_{p}^{n} {(F_{p, w}^{n + 1})}^{- 1} {(F_{p, s}^{P})}^{- 1} .

Meanwhile, we update mass loss and hardening state of each particle according to the saturation‐based hardening in Section 4.2 as:

\begin{align} m_{p}^{*} = m_{p}^{n} \frac{k_{r} + s^{n + 1}}{k_{r} + s^{n}}, \end{align}

\begin{align} α_{p}^{*} = α_{p}^{n} + ϵ \log \frac{J_{w}^{n + 1}}{J_{w}^{n}}, \end{align}

where

k_{r} = ρ_{s} / ρ_{w}

is a constant ratio during simulation, and

ϵ

…”

Section: Discretization and Algorithmic Flow For Soil Dynamicsmentioning

confidence: 99%

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MPM‐driven dynamic desiccation cracking and curling in unsaturated soils

Tu,

Peng,

et al. 2023

Computer Animation & Virtual

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Desiccation cracking of soil‐like materials is a common phenomenon in natural dry environment, however, it remains a challenge to model and simulate complicated multi‐physical processes inside the porous structure. With the goal of tracking such physical evolution accurately, we propose an MPM based method to simulate volumetric shrinkage and crack during moisture diffusion. At the physical level, we introduce Richards equations to evolve the dynamic moisture field to model evaporation and diffusion in unsaturated soils, with which a elastoplastic model is established to simulate strength changes and volumetric shrinkage via a novel saturation‐based hardening strategy during plastic treatment. At the algorithmic level, we develop an MPM‐fashion numerical solver for the proposed physical model and achieve stable yet efficient simulation towards delicate deformation and fracture. At the geometric level, we propose a correlating stretching criteria and a saturation‐aware extrapolation scheme to extend existing surface reconstruction for MPM, producing visual compelling soil appearance. Finally, we manifest realistic simulation results based on the proposed method with several challenging scenarios, which demonstrates usability and efficiency of our method.

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Implicit smoothed particle hydrodynamics model for simulating incompressible fluid‐elastic coupling

Wang

et al. 2023

Computer Animation & Virtual

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Fluid simulation has been one of the most critical topics in computer graphics for its capacity to produce visually realistic effects. The intricacy of fluid simulation manifests most with interacting dynamic elements. The coupling for such scenarios has always been challenging to manage due to the numerical instability arising from the coupling boundary between different elements. Therefore, we propose an implicit smoothed particle hydrodynamics fluid‐elastic coupling approach to reduce the instability issue for fluid‐fluid, fluid‐elastic, and elastic‐elastic coupling circumstances. By deriving the relationship between the universal pressure field with the incompressible attribute of the fluid, we apply the number density scheme to solve the pressure Poisson equation for both fluid and elastic material to avoid the density error for multi‐material coupling and conserve the non‐penetration condition for elastic objects interacting with fluid particles. Experiments show that our method can effectively handle the multiphase fluids simulation with elastic objects under various physical properties.

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A moving least square reproducing kernel particle method for unified multiphase continuum simulation

Cited by 17 publications

References 65 publications

MPM-driven Dynamic Desiccation Cracking and Curling in Unsaturated Soils

MPM-driven Dynamic Desiccation Cracking and Curling in Unsaturated Soils

MPM‐driven dynamic desiccation cracking and curling in unsaturated soils

Implicit smoothed particle hydrodynamics model for simulating incompressible fluid‐elastic coupling

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