An Eulerian approach for partitioned fluid–structure simulations on Cartesian grids

Abstract

This paper describes an Eulerian approach for partitioned fluid-structure simulations based on a fluid solver using regularly and adaptively refined Cartesian grids. The particular focus is on the efficient implementation and embedding of the fluid solver in the context of coupled simulations. Special subjects are the efficient layout of data structures and data access based on space-filling curves and the realisation of geometry and topology changes. In addition, a coupling environment is presented that allows for an easy and flexible coupling of flow and structure codes. Simulation results are provided for large particle movements within the drift ratchet scenario.

Hydrodynamic drift ratchet scalability

“…Under these conditions the only mechanism for particles to deviate from fluid trajectories is via particle‐wall hydrodynamic interactions and Brownian motion. In the dilute limit the impact of particle motion on the fluid flow field is negligible in the fluid bulk, hence we only consider one‐way coupling between the fluid and particles.…”

“…However, the applicability of the Fick‐Jacobs approximation to hydrodynamic drift ratchets has yet to be established as these studies do not account for changes in particle diffusivity due to hydrodynamic interactions with no‐slip boundaries. Additionally, fully coupled particle/fluid hydrodynamic simulations previously attempted are too computationally expensive for parametric studies.…”

Nonlinear fluid–structure interaction problem. Part I: implicit partitioned algorithm, nonlinear stability proof and validation examples

“…To provide the unified discretization basis for monolithic approach, the most frequent choice is to use the stabilized finite elements for fluids (first proposed by Hughes and co-authors [30,38], followed by Tezduyar [63] and many other works [19,29,35,48,56,61,64,65,69]), which can easily be combined with standard finite elements for nonlinear structure mechanics (e.g. see [12,39,70]); less frequently used possibility is to provide the finite volume scheme discretization of structure sub-problem [51] and thus provide the monolithic basis constructed by finite volume method.…”

“…see [40,54]), perhaps the most frequently studied are the problems of fluid-structure interaction (e.g. see [3][4][5][6][7][8][9]15,16,18,19,[21][22][23][24]26,28,29,33,35,42,[45][46][47][48][49][50][51][52]56,57,59,62,[64][65][66][67]69] among others). The fluid-structure interaction is already an interesting problem in its own right with a vast number of important applications.…”

Nonlinear fluid–structure interaction problem. Part II: space discretization, implementation aspects, nested parallelization and application examples

“…For the lack of efficiency, most symbolic interpreter software products, such as Matlab or Octave, are not suitable for this class of problems. In fact, in order to ensure the required level of computational efficiency in the context of fluid-structure interaction [3,[5][6][7][8][9][10]15,20,22,23,[25][26][27][28][29]31,32,39,41,43,51,[57][58][59][60][63][64][65]71,72,74,76,77,[79][80][81]85,86], large size problems are often tackled using dedicated software developments [66,[78][79][80]. In this work, the large problems from fluid-structure interactionapplications are solved by using existing fluid and structure solvers, along with the corresponding partitioned strategy.…”