Tire aerodynamic analysis with the Space-time Slip interface topology change (ST-SI-TC) method and NURBS in space

2016 ◽  
Vol 2016.29 (0) ◽  
pp. 4_279
Author(s):  
Takashi Kuraishi ◽  
Kenji Takizawa ◽  
Tayfun E.Tezduyar
Keyword(s):  
Space Time ◽  
Topology Change ◽  
Aerodynamic Analysis

TOPOLOGY CHANGE AND SIGNATURE CHANGE IN NON-LINEAR FIRST-ORDER GRAVITY

2007 ◽  
Vol 04 (04) ◽  
pp. 647-667 ◽  
Author(s):  
ANDRZEJ BOROWIEC ◽  
MAURO FRANCAVIGLIA ◽  
IGOR VOLOVICH
Keyword(s):  
Space Time ◽  
Relativistic Cosmology ◽  
Lagrangian Formalism ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Topology Change ◽  
First Order ◽  
Signature Change ◽  
Nonlinear Lagrangians ◽  
Momentum Complex

We show that different topologies of a space-time manifold and different signatures of its metric can be encompassed into a single Lagrangian formalism, provided one adopts the first-order (Palatini) formulation and relies on nonlinear Lagrangians, that were earlier shown to produce, in the generic case, universality of Einstein field equations and of Komar's energy-momentum complex as well. An example in Relativistic Cosmology is provided.

scholarly journals Ventricle-valve-aorta flow analysis with the Space–Time Isogeometric Discretization and Topology Change

2020 ◽  
Vol 65 (5) ◽  
pp. 1343-1363 ◽  
Author(s):  
Takuya Terahara ◽  
Kenji Takizawa ◽  
Tayfun E. Tezduyar ◽  
Atsushi Tsushima ◽  
Kensuke Shiozaki
Keyword(s):  
Flow Analysis ◽  
Space Time ◽  
Topology Change ◽  
And Topology ◽  
Isogeometric Discretization

Space–time topology change and stringy geometrya)

1994 ◽  
Vol 35 (10) ◽  
pp. 5321-5337 ◽  
Author(s):  
Paul S. Aspinwall ◽  
Brian R. Greene ◽  
David R. Morrison
Keyword(s):  
Space Time ◽  
Topology Change

scholarly journals Heart valve isogeometric sequentially-coupled FSI analysis with the space–time topology change method

2020 ◽  
Vol 65 (4) ◽  
pp. 1167-1187 ◽  
Author(s):  
Takuya Terahara ◽  
Kenji Takizawa ◽  
Tayfun E. Tezduyar ◽  
Yuri Bazilevs ◽  
Ming-Chen Hsu
Keyword(s):  
Fluid Mechanics ◽  
Heart Valve ◽  
Complex Geometry ◽  
Space Time ◽  
Multiscale Methods ◽  
Topology Change ◽  
Mesh Resolution ◽  
Flow Through ◽  
Isogeometric Discretization ◽  
Variational Multiscale Methods

AbstractHeart valve fluid–structure interaction (FSI) analysis is one of the computationally challenging cases in cardiovascular fluid mechanics. The challenges include unsteady flow through a complex geometry, solid surfaces with large motion, and contact between the valve leaflets. We introduce here an isogeometric sequentially-coupled FSI (SCFSI) method that can address the challenges with an outcome of high-fidelity flow solutions. The SCFSI analysis enables dealing with the fluid and structure parts individually at different steps of the solutions sequence, and also enables using different methods or different mesh resolution levels at different steps. In the isogeometric SCFSI analysis here, the first step is a previously computed (fully) coupled Immersogeometric Analysis FSI of the heart valve with a reasonable flow solution. With the valve leaflet and arterial surface motion coming from that, we perform a new, higher-fidelity fluid mechanics computation with the space–time topology change method and isogeometric discretization. Both the immersogeometric and space–time methods are variational multiscale methods. The computation presented for a bioprosthetic heart valve demonstrates the power of the method introduced.

Topology change in general relativity

1978 ◽  
Vol 364 (1718) ◽  
pp. 295-308 ◽  
Keyword(s):  
General Relativity ◽  
Spacelike Hypersurface ◽  
Space Time ◽  
Topology Change ◽  
Complete Space ◽  
Geodesically Complete

Two theorems are given, which show that in a geodesically complete space-time a closed and bounded part of an edgeless acausal spacelike hypersurface cannot change its topology as it evoles with time.

Space–time interface-tracking with topology change (ST-TC)

2013 ◽  
Vol 54 (4) ◽  
pp. 955-971 ◽  
Author(s):  
Kenji Takizawa ◽  
Tayfun E. Tezduyar ◽  
Austin Buscher ◽  
Shohei Asada
Keyword(s):  
Space Time ◽  
Interface Tracking ◽  
Topology Change

Space, Time and Einstein

2002 ◽  
Author(s):  
J. B. Kennedy
Keyword(s):  
Space Time
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