GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Computer Methods in Applied Mechanics and Engineering - Special edition on the 20th Anniversary
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
SIAM Journal on Scientific Computing
Computational Methods for Modeling Parachute Systems
Computing in Science and Engineering
On the Nonnormality of Subiteration for a Fluid-Structure-Interaction Problem
SIAM Journal on Scientific Computing
Blood vessel tissue prestress modeling for vascular fluid-structure interaction simulation
Finite Elements in Analysis and Design
Space---time SUPG finite element computation of shallow-water flows with moving shorelines
Computational Mechanics
A parallel sparse algorithm targeting arterial fluid mechanics computations
Computational Mechanics
Stabilized space---time computation of wind-turbine rotor aerodynamics
Computational Mechanics
Multiscale space---time fluid---structure interaction techniques
Computational Mechanics
Accurate fluid-structure interaction computations using elements without mid-side nodes
Computational Mechanics
Space---time FSI modeling and dynamical analysis of spacecraft parachutes and parachute clusters
Computational Mechanics
Space---time computation techniques with continuous representation in time (ST-C)
Computational Mechanics
On numerical modeling of animal swimming and flight
Computational Mechanics
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Fluid---structure interaction (FSI) modeling of parachutes poses a number of computational challenges. These include the lightness of the parachute canopy compared to the air masses involved in the parachute dynamics, in the case of ringsail parachutes the geometric porosity created by the construction of the canopy from "rings" and "sails" with hundreds of "ring gaps" and "sail slits," in the case of parachute clusters the contact between the parachutes, and "disreefing" from one stage to another when the parachute is used in multiple stages. The Team for Advanced Flow Simulation and Modeling (T驴AFSM) has been successfully addressing these computational challenges with the Stabilized Space---Time FSI (SSTFSI) technique, which was developed and improved over the years by the T驴AFSM and serves as the core numerical technology, and a number of special techniques developed in conjunction with the SSTFSI technique. The quasi-direct and direct coupling techniques developed by the T驴AFSM, which are applicable to cases with nonmatching fluid and structure meshes at the interface, yield more robust algorithms for FSI computations where the structure is light. The special technique used in dealing with the geometric complexities of the rings and sails is the homogenized modeling of geometric porosity (HMGP), which was developed and improved in recent years by the T驴AFSM. The surface-edge-node contact tracking (SENCT) technique was introduced by the T驴AFSM as a contact algorithm where the objective is to prevent the structural surfaces from coming closer than a minimum distance in an FSI computation. The recently-introduced conservative version of the SENCT technique is more robust and is now an essential technology in the parachute cluster computations carried out by the T驴AFSM. As an additional computational challenge, the parachute canopy might, by design, have some of its panels and sails removed. In FSI computation of parachutes with such "modified geometric porosity," the flow through the "windows" created by the removal of the panels and the wider gaps created by the removal of the sails cannot be accurately modeled with the HMGP and needs to be actually resolved during the FSI computation. In this paper we focus on parachute disreefing, including the disreefing of parachute clusters, and parachutes with modified geometric porosity, including the reefed stages of such parachutes. We describe the additional special techniques we have developed to address the challenges involved and report FSI computations for parachutes and parachute clusters with disreefing and modified geometric porosity.