Registered Data
Contents
- 1 [CT141]
- 1.1 [00344] Forced convection from an isothermal square cylinder in shear flow
- 1.2 [00582] Data assimilation finite element method for the linearized Navier-Stokes equations with higher order polynomial approximation
- 1.3 [01046] Flow past a mounted wedge: The three fold structure
- 1.4 [01302] A mathematical model for swallowing of food-bolus through tumour-infected Oesophagus
- 1.5 [01490] RANS modelling of OWC device over the sloping seabed
[CT141]
[00344] Forced convection from an isothermal square cylinder in shear flow
- Session Date & Time : 2C (Aug.22, 13:20-15:00)
- Type : Contributed Talk
- Abstract : Forced convection from an uniformly heated square cylinder placed in linear shear flow of constant properties fluid is numerically investigated at Reynolds number, Re=100, shear rate, K=0.0-0.2 and Prandtl number, Pr=0.5. The two-dimensional mathematical equations of flow motion and energy are solved using a higher order compact (HOC) finite difference scheme on Cartesian grids. The effect of K is investigated on flow and thermal fields in terms of isotherm patterns, Nusselt number distributions etc. The resulting vortex shedding phenomena behind the cylinder is detected and thermal field is determined.
- Classification : 76D05
- Author(s) :
- Atendra Kumar (National Institute of Technology Srinagar, India)
- Session Date & Time : 2C (Aug.22, 13:20-15:00)
- Type : Contributed Talk
- Abstract : In this talk, we design and analyze an arbitrary-order stabilized finite element method to approximate the unique continuation problem for laminar steady flow described by the linearized incompressible Navier--Stokes equation. We derive quantitative local error estimates for the velocity, which account for noise level and polynomial degree, using the stability of the continuous problem in the form of a conditional stability estimate. Numerical examples illustrate the performances of the method with respect to the polynomial order and perturbations in the data. We observe that the higher order polynomials may be efficient for ill-posed problems, but are also more sensitive for problems with poor stability due to the ill-conditioning of the system.
- Classification : 76D05, 35R30, 76M10
- Author(s) :
- Erik Burman (University College London)
- Deepika Garg (University College London, London)
- Janosch Preuss (University College London)
[01046] Flow past a mounted wedge: The three fold structure
- Session Date & Time : 2C (Aug.22, 13:20-15:00)
- Type : Contributed Talk
- Abstract : This talk is concerned with the simulation of flow past a wedge mounted on a wall for channel Reynolds number $Re_c = 6873$ in accelerated flow medium. All three stages of vortex shedding for the accelerated flow, leading to the exceedingly intricate three-fold structure has been captured very accurately. Transition to turbulence have also been resolved which is indicated by the existence of coherent structures.
- Classification : 76D05, 76D17, 65M06
- Author(s) :
- Jiten C Kalita (Indian Institute of Technology Guwahati)
[01302] A mathematical model for swallowing of food-bolus through tumour-infected Oesophagus
- Session Date & Time : 2C (Aug.22, 13:20-15:00)
- Type : Contributed Talk
- Abstract : This study discusses the non-steady effects associated with finite-length tube encountered in real peristaltic pumps, as seen in oesophagus, for example. The purpose of this study is to diagnose tumour in an oesophagus mathematically. This is modelled by generic-bump function of certain height and width. The goal is to assess how pressure varies across the tumour’s width. The interruption while swallowing through tumour-infected oesophagus is confirmed by the abrupt pressure rise across the tumour’s width.
- Classification : 76D05, 92B05, 92-10, 35G20, 92C35
- Author(s) :
- Ankit Prajapati (Indian Institute of Technology (BHU), Varanasi, India)
- Sanjay Kumar Pandey (Indian Institute of Technology (BHU), Varanasi, India)
[01490] RANS modelling of OWC device over the sloping seabed
- Session Date & Time : 2C (Aug.22, 13:20-15:00)
- Type : Contributed Talk
- Abstract : The hydrodynamics of the oscillating water column device placed over the sloping seabed under the influence of irregular incident waves is studied. Reynolds-Averaged Navier-Stokes equations (RANS) with a modified k − w turbulence model was used and the air-water interface was tracked using a volume-of-fluid (VOF) approach. The results demonstrate that the amplitude of the inward and outward velocities via the orifice, free surface elevations, and flow characteristics are greater for higher significant wave heights.
- Classification : 76D05, 76D33, 76F25
- Author(s) :
- AMYA RANJAN RAY (Birla Institute of Technology and Science, Pilani – Hyderabad Campus)
- SANTANU KOLEY (Birla Institute of Technology and Science - Pilani, Hyderabad Campus)