Material Point Method and Adaptive Meshing Applied to Fluid-Structure Interaction (FSI) Problems

Author(s):  
Shaolin Mao

Material point method (MPM) is a powerful tool to handle material large deformation, discontinuities, and material moving interfaces problems where typical finite element methods (FEMs) could be very expensive and frequently fail. Material point method, in essence, is a weak formulation of the Particle-in-cell (PIC) method which has been developed initially for fluid dynamic problems. Recent years have seen extensive development of algorithm and impressive applications of MPM in engineering problems. Compared to its big success in material and structure modeling, the application of MPM to multiphase flows and fluid-structure interactions (FSIs) problems is relative scarce, in particular, the studies of fluid-induced deformation and motion of solids are limited due to their highly computational cost. In this short paper we discuss the computational efficiency by combining MPM with the adaptive mesh refinement (AMR) techniques to simulate FSI problems. Several test cases of 2D and 3D fluid-solid coupling flow problems are simulated and analyzed. The comparison with previous simulation results is shown in detail.

2015 ◽  
Vol 784 ◽  
pp. 193-199
Author(s):  
Zhen Chen ◽  
Xiong Zhang

To predict a complete process of failure evolution, discontinuous bifurcation analysis has been performed to link elastoplasticity and damage models with decohesion models. To simulate multi-phase interactions involving failure evolution, the Material Point Method (MPM) has been developed to discretize localized large deformations and the transition from continuous to discontinuous failure modes. In a recent study for the Sandia National Laboratories (SNL) challenge, the decohesion modeling is improved by making the failure mode adjustable and by replacing the critical normal and tangential decohesion strengths with the tensile and shear peak strengths, in order to predict the cracking path in a complex configuration with the least computational cost,. It is found that there is a transition between different failure modes along the cracking path, which depends on the stress distribution around the path due to the nonlocal nature of failure evolution. Representative examples will be used to demonstrate the recent advances in simulating failure evolution with the MPM.


Author(s):  
Xuchen Han ◽  
Theodore F. Gast ◽  
Qi Guo ◽  
Stephanie Wang ◽  
Chenfanfu Jiang ◽  
...  

Author(s):  
Weiqun Zhang ◽  
Andrew Myers ◽  
Kevin Gott ◽  
Ann Almgren ◽  
John Bell

Block-structured adaptive mesh refinement (AMR) provides the basis for the temporal and spatial discretization strategy for a number of Exascale Computing Project applications in the areas of accelerator design, additive manufacturing, astrophysics, combustion, cosmology, multiphase flow, and wind plant modeling. AMReX is a software framework that provides a unified infrastructure with the functionality needed for these and other AMR applications to be able to effectively and efficiently utilize machines from laptops to exascale architectures. AMR reduces the computational cost and memory footprint compared to a uniform mesh while preserving accurate descriptions of different physical processes in complex multiphysics algorithms. AMReX supports algorithms that solve systems of partial differential equations in simple or complex geometries and those that use particles and/or particle–mesh operations to represent component physical processes. In this article, we will discuss the core elements of the AMReX framework such as data containers and iterators as well as several specialized operations to meet the needs of the application projects. In addition, we will highlight the strategy that the AMReX team is pursuing to achieve highly performant code across a range of accelerator-based architectures for a variety of different applications.


2021 ◽  
Vol 112 ◽  
pp. 103904
Author(s):  
Fabricio Fernández ◽  
Jhonatan E.G. Rojas ◽  
Eurípedes A. Vargas ◽  
Raquel Q. Velloso ◽  
Daniel Dias

Sign in / Sign up

Export Citation Format

Share Document