Methods for parallel computation of complex flow problems

Takizawa

2018

Comput Mech

In an article published online in July 2018 it was stated that the algorithm proposed in the article is "enabling practical implementation of the space-time FEM for engineering applications." In fact, space-time computations in practical engineering applications were already enabled in 1993. We summarize the computations that have taken place since then. These computations started with finite element discretization and are now also with isogeometric discretization. They were all in 3D space and were all carried out on parallel computers. For quarter of a century, these computations brought solution to many classes of complex problems ranging from Orion spacecraft parachutes to wind turbines, from patient-specific cerebral aneurysms to heart valves, from thermo-fluid analysis of ground vehicles and tires to turbocharger turbines and exhaust manifolds.

Section: Years 1993-2000mentioning

confidence: 99%

Space–time computations in practical engineering applications: a summary of the 25-year history

Takizawa

2018

Comput Mech

“…The aircraft model used in [15] was improved by adding the wing flaps and winglets, and the simulation with that model was reported in a 1999 journal paper [16] that was submitted in January 1999. The wing flaps and winglets can clearly be seen in Figure 11 of that paper.…”

Section: Paratrooper-separation Modelingmentioning

confidence: 99%

“…As we explained in the Introduction of this paper, the wing flaps and winglets were added to the aircraft model earlier, and the simulation with that model was reported in a 1999 journal paper [16], which was submitted in January 1999. That was about 6 months before the author joined the T AFSM as a new graduate student.…”

Section: Dsd/sst Computations With No-slip Condition On the Aircraft mentioning

confidence: 99%

Comments on paratrooper‐separation modeling with the DSD/SST formulation and FOIST

Numerical Methods in Fluids

2011

“…Formulating this class of problems in the space-time domain can help us develop more effective methods. The STCT was introduced in Tezduyar and Osawa (1999) and Tezduyar (2001c). Let us imagine a one-dimensional problem, shown in Figure 2, where there is a possibility that between the time levels t n and t n+1 the liquid free-surface on the right might be contacting a wall.…”

Section: Space-time Contact Technique (Stct)mentioning

confidence: 99%

Finite Element Methods for Fluid Dynamics with Moving Boundaries and Interfaces

Encyclopedia of Computational Mechanics

2004

150

243

We provide an overview of the finite element methods we developed in recent years for computation of fluid dynamics problems with moving boundaries and interfaces. This class of problems include those with free surfaces, two‐fluid interfaces, fluid–object and fluid–structure interactions, and moving mechanical components. The methods developed can be classified into two main categories: interface‐tracking and interface‐capturing techniques. Both classes of techniques are based on stabilized formulations, and determination of the stabilization parameters used in these formulations is also highlighted here. The interface‐tracking techniques are based on the deforming‐spatial‐domain/stabilized space–time (DSD/SST) formulation, where the mesh moves to track the interface. The interface‐capturing techniques were developed for two‐fluid flows. They are based on the stabilized formulation, over typically nonmoving meshes, of both the flow equations and an advection equation. The advection equation governs the time‐evolution of an interface function marking the interface location. We also describe some of the additional methods we developed to increase the scope and accuracy of these two classes of techniques. Among them are the enhanced‐discretization interface‐capturing technique (EDICT), which was developed to increase the accuracy in capturing the interface, extensions and offshoots of the EDICT, and mixed solution techniques. The overview of these techniques is supplemented by a number of numerical examples from computation of complex flow problems.