Modeling of Free Surface Flows Using Improved Material Point Method and Dynamic Adaptive Mesh Refinement

Mao, Shaolin; Chen, Qin; Li, Deyu; Zhao, Feng

doi:10.1061/(asce)em.1943-7889.0000981

Cited by 13 publications

(5 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The MPM can transition between solid and fluid behaviors, making it uniquely capable of simulating the dynamic interactions in these scenarios. For instance, in dam break problems (Mao et al, 2016;Zhao et al, 2017;Issakhov and Imanberdiyeva, 2020), the MPM effectively captures the rapid fluid movement and its impact on adjacent structures. In the context of water entry (Li et al, 2022), the MPM excels by accurately predicting the force impact and FSIs, essential for designing marine structures.…”

Section: Applications In Ocean Engineeringmentioning

confidence: 99%

An Overview of Coupled Lagrangian–Eulerian Methods for Ocean Engineering

Qian,

Yang,

Liu

2024

J. Marine. Sci. Appl.

View full text Add to dashboard Cite

Combining the strengths of Lagrangian and Eulerian descriptions, the coupled Lagrangian–Eulerian methods play an increasingly important role in various subjects. This work reviews their development and application in ocean engineering. Initially, we briefly outline the advantages and disadvantages of the Lagrangian and Eulerian descriptions and the main characteristics of the coupled Lagrangian–Eulerian approach. Then, following the developmental trajectory of these methods, the fundamental formulations and the frameworks of various approaches, including the arbitrary Lagrangian–Eulerian finite element method, the particle-in-cell method, the material point method, and the recently developed Lagrangian–Eulerian stabilized collocation method, are detailedly reviewed. In addition, the article reviews the research progress of these methods with applications in ocean hydrodynamics, focusing on free surface flows, numerical wave generation, wave overturning and breaking, interactions between waves and coastal structures, fluid-rigid body interactions, fluid–elastic body interactions, multiphase flow problems and visualization of ocean flows, etc. Furthermore, the latest research advancements in the numerical stability, accuracy, efficiency, and consistency of the coupled Lagrangian–Eulerian particle methods are reviewed; these advancements enable efficient and highly accurate simulation of complicated multiphysics problems in ocean and coastal engineering. By building on these works, the current challenges and future directions of the hybrid Lagrangian–Eulerian particle methods are summarized.

show abstract

Section: Applications In Ocean Engineeringmentioning

confidence: 99%

An Overview of Coupled Lagrangian–Eulerian Methods for Ocean Engineering

Qian,

Yang,

Liu

2024

J. Marine. Sci. Appl.

View full text Add to dashboard Cite

show abstract

“…A few examples can be found in Refs. [27,42,43]. The nano-indentation problem modeled here is an excellent candidate for mesh refinement.…”

Section: Mpm Gridmentioning

confidence: 99%

Modeling nanoindentation using the Material Point Method

Hammerquist

Nairn

2018

J. Mater. Res.

View full text Add to dashboard Cite

show abstract

“…The use of the material point method for simulating fluid flows 2,3,46‐51 is becoming increasingly common, especially in the fields of physics‐based animation and free‐surface simulation. To model such flows, an MPM implementation must address two key issues: (i) volumetric or kinematic locking of nearly incompressible materials 47,51,52 and (ii) accumulation of discretization and quadrature errors through advection 53,54 .…”

Section: Introductionmentioning

confidence: 99%

“…21,[29][30][31][32][33] Other applications have included examination of the effects of explosions and shockwaves on different materials [34][35][36][37][38][39][40] and predicting the dynamic failure processes of earthen and granular slopes. [41][42][43][44][45] The use of the material point method for simulating fluid flows 2,3,[46][47][48][49][50][51] is becoming increasingly common, especially in the fields of physics-based animation and free-surface simulation. To model such flows, an MPM implementation must address two key issues: (i) volumetric or kinematic locking of nearly incompressible materials 47,51,52 and (ii) accumulation of discretization and quadrature errors through advection.…”

Section: Introductionmentioning

confidence: 99%

Analysis and mitigation of spatial integration errors for the material point method

Baumgarten

Kamrin

2023

Numerical Meth Engineering

View full text Add to dashboard Cite

The material point method (MPM) is a robust numerical simulation approach for continuum mechanics problems involving large material deformations coupled to changing surface topographies. These types of problems are present in many different engineering contexts, from understanding the failure processes of earthen slopes to predicting the strengths and failure mechanisms of body armor to modeling the impact forces of waves in fluid tanks. By using a set of persistent material point tracers to follow the motion and deformation of the continuum material while solving the equations of motion on a static simulation grid, the MPM avoids several shortcomings of more traditional numerical approaches including blurring of material surfaces -as in Eulerian finite element or finite volume methods (FEMs or FVMs) -and mesh tangling -as in Lagrangian FEMs. Despite its robustness, MPM is known to develop significant numerical errors: namely, (i) the particle ringing instability and (ii) solution dependent discretization and integration errors. In this work, we present an analysis of local-in-time, spatial integration errors in the MPM and several techniques designed to mitigate these errors. Error mitigation approaches previously described in the literature are compared to a new method we propose for problems involving very large material deformations. The proposed method is shown to offer substantial improvement over standard MPM for simulations of fluid-like materials without requiring significant augmentation of existing MPM frameworks.

show abstract

Modeling of Free Surface Flows Using Improved Material Point Method and Dynamic Adaptive Mesh Refinement

Cited by 13 publications

References 37 publications

An Overview of Coupled Lagrangian–Eulerian Methods for Ocean Engineering

An Overview of Coupled Lagrangian–Eulerian Methods for Ocean Engineering

Modeling nanoindentation using the Material Point Method

Analysis and mitigation of spatial integration errors for the material point method

Contact Info

Product

Resources

About