A Spectral-Element Simulator for Two-Dimensional Rigid-Body-Fluid Interaction Problems

2014 ◽  
Author(s):  
L.-C. Chen ◽  
M.-J. Huang
Keyword(s):  
Rigid Body ◽  
Body Fluid ◽  
Spectral Element ◽  
Two Dimensional ◽  
Element Simulator ◽  
Fluid Interaction

Interaction Analysis of Simple form Objects with Fluid and Control Optimization

2021 ◽  
Author(s):  
◽  
Shravan Koundinya Vutukuru
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Rigid Body ◽  
Simple Form ◽  
Body Fluid ◽  
Ansys Fluent ◽  
Structure Interaction ◽  
Alternative Approach ◽  
Fluid Interaction ◽  
Interaction Phenomenon

Fluid-rigid body interaction is an age-old phenomenon, but interestingly, a good approximated solution for the phenomenon pertaining to non-stationary body-fluid interaction is still non-existent. The solution is much more complicated due to huge system of simultaneous partial differential equations that are framed from multi-degrees of freedom, all elements in the spatial domain coupled together between all time steps. Additionally, when considering the spatial aspects of solving the system of partial differential equations, there arise a range of complexities from the type of solution technique (finite-differences, finite-volume, finite-element) and also from meshing techniques (moving, structured or unstructured). Even though advanced commercial fluid-structure interaction solvers are available, they are limited to simple objects and require frequent remeshing techniques that are time consuming and computationally expensive. The promotion work specifically focuses solely on rigid body-fluid (air) interaction and does not consider flow reattachment or flow separation phenomenon offering an alternative approach to study the interaction phenomenon and its advantages. The basic idea of the approximated theory in the current work is to have a simplified approach through a straightforward mathematical model without considering the viscous nature of fluid medium (air). Therefore, this is an approximate theory for non-stationary body and fluid interaction phenomenon considering inputs (post-processing results) from stationary rigid body-fluid interaction performed in ANSYS Fluent (2D and 3D) where the steady state RANS equation is solved with the help of turbulence model. The concept discussed in the work will offer an alternative approach for ‘space-time’ programming techniques and also help to solve the engineering tasks of optimization and synthesis for simple form objects without requiring huge computational efforts. A new world of science for autonomous robots (underwater robotic fish with single and dual tail actuator) is explored where in an on-board power pack technique (energy scavenging from surrounding medium) is proposed that purely based on the fluid and rigid body interaction phenomenon is analysed. Experiments on simple form objects were performed in ARMFIELD wind tunnel, available at Riga Technical University, at a constant speed of 10 m/s and validated with the computer program ANSYS Fluent (in 3D). All the latest techniques, advantages and importance related to fluid-structure interaction phenomenon are summarized in the literature review section through various databases available over internet.

Two Dimensional Simulations of Enhanced Heat Transfer in an Intermittently Grooved Channel

2000 ◽  
Author(s):  
M. Greiner ◽  
P. F. Fischer ◽  
H. M. Tufo
Keyword(s):  
Heat Transfer ◽  
Local Heat Transfer ◽  
Spectral Element ◽  
Local Heat ◽  
Navier Stokes ◽  
Computational Domain ◽  
Two Dimensional ◽  
Number Range ◽  
Element Technique ◽  
Outflow Boundary

Abstract Two-dimensional Navier-Stokes simulations of heat and momentum transport in an intermittently grooved passage are performed using the spectral element technique for the Reynolds number range 600 ≤ Re ≤ 1800. The computational domain has seven contiguous transverse grooves cut symmetrically into opposite walls, followed by a flat section with the same length. Periodic inflow/outflow boundary conditions are employed. The development and decay of unsteady flow is observed in the grooved and flat sections, respectively. The axial variation of the unsteady component of velocity is compared to the local heat transfer, shear stress and pressure gradient. The results suggest that intermittently grooved passages may offer even higher heat transfer for a given pumping power than the levels observed in fully grooved passages.

Fekete-Gauss Spectral Elements for Incompressible Navier-Stokes Flows: The Two-Dimensional Case

2013 ◽  
Vol 13 (5) ◽  
pp. 1309-1329 ◽  
Author(s):  
Laura Lazar ◽  
Richard Pasquetti ◽  
Francesca Rapetti
Keyword(s):  
Degrees Of Freedom ◽  
Stokes Equations ◽  
Schur Complement ◽  
Spectral Element ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Navier Stokes Equations ◽  
Driven Cavity ◽  
Flow Past A Cylinder ◽  
Accuracy Study

AbstractSpectral element methods on simplicial meshes, say TSEM, show both the advantages of spectral and finite element methods, i.e., spectral accuracy and geometrical flexibility. We present aTSEM solver of the two-dimensional (2D) incompressible Navier-Stokes equations, with possible extension to the 3D case. It uses a projection method in time and piecewise polynomial basis functions of arbitrary degree in space. The so-called Fekete-Gauss TSEM is employed,i.e., Fekete (resp. Gauss) points of the triangle are used as interpolation (resp. quadrature) points. For the sake of consistency, isoparametric elements are used to approximate curved geometries. The resolution algorithm is based on an efficient Schur complement method, so that one only solves for the element boundary nodes. Moreover, the algebraic system is never assembled, therefore the number of degrees of freedom is not limiting. An accuracy study is carried out and results are provided for classical benchmarks: the driven cavity flow, the flow between eccentric cylinders and the flow past a cylinder.

A two-dimensional adaptive spectral element method

1997 ◽  
Author(s):  
C. Mavriplis ◽  
L.-C. Hsu ◽  
C. Mavriplis ◽  
L.-C. Hsu
Keyword(s):  
Spectral Element Method ◽  
Spectral Element ◽  
Two Dimensional ◽  
Element Method
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