Numerical Simulation of Unsteady Complex Flows Using an Artificial Compressibility-Immersed Boundary Method with Direct Forcing
碩士 === 國立中央大學 === 數學系 === 106 === The main purpose of this thesis is to implement an artificial compressibility-immersed boundary method with direct forcing proposed in [22] for simulating 2-D unsteady flows interacting with rigid solid objects. This approach is based on the artificial compressibili...
Main Authors: | , |
---|---|
Other Authors: | |
Format: | Others |
Language: | en_US |
Published: |
2018
|
Online Access: | http://ndltd.ncl.edu.tw/handle/vdhx52 |
id |
ndltd-TW-106NCU05479017 |
---|---|
record_format |
oai_dc |
spelling |
ndltd-TW-106NCU054790172019-11-21T05:32:52Z http://ndltd.ncl.edu.tw/handle/vdhx52 Numerical Simulation of Unsteady Complex Flows Using an Artificial Compressibility-Immersed Boundary Method with Direct Forcing 非穩態複雜流體的人造壓縮性直接施力沉浸邊界法數值模擬 Yi-Hao Chang 張益豪 碩士 國立中央大學 數學系 106 The main purpose of this thesis is to implement an artificial compressibility-immersed boundary method with direct forcing proposed in [22] for simulating 2-D unsteady flows interacting with rigid solid objects. This approach is based on the artificial compressibility method and the direct-forcing immersed boundary method combined with a prediction-correction strategy. Following the ideas in [22], we employ the penalty technique to weaken the incompressibility condition in the incompressible Navier-Stokes equations and introduce a virtual force distributed on the whole solid object and imposed to the fluid momentum equations to accommodate the no-slip boundary condition at the immersed solid boundary. We then use the first-order implicit Euler scheme to discretize the temporal variable in the resulting system of equations and apply the explicit first-order approximation to linearize the nonlinear convection term. After that, we employ a direct forcing immersed boundary method with a prediction-correction strategy to solve the system of time-discretized equations. For the spatial discretization in this approach, we take the second-order central differences on the staggered grids. We illustrate the performance of the algorithm by performing several 2-D numerical experiments of unsteady flow interacting with solid object. From the numerical results, we find that this simple artificial compressibility immersed boundary method with direct forcing can achieve reasonable results for 2-D fluid-solid interaction problems. Suh-Yuh Yang 楊肅煜 2018 學位論文 ; thesis 43 en_US |
collection |
NDLTD |
language |
en_US |
format |
Others
|
sources |
NDLTD |
description |
碩士 === 國立中央大學 === 數學系 === 106 === The main purpose of this thesis is to implement an artificial compressibility-immersed boundary method with
direct forcing proposed in [22] for simulating 2-D unsteady flows interacting with rigid solid objects.
This approach is based on the artificial compressibility method and the direct-forcing immersed boundary method combined with a prediction-correction strategy.
Following the ideas in [22], we employ the penalty technique to weaken the incompressibility condition in the incompressible Navier-Stokes equations and introduce a virtual force distributed on the whole solid object and imposed to the fluid momentum equations to accommodate the no-slip boundary condition at the immersed solid boundary. We then use the first-order implicit Euler scheme to discretize the temporal variable in the resulting system of equations and apply the explicit first-order approximation to linearize the nonlinear convection term. After that, we employ a direct forcing immersed boundary method with a prediction-correction strategy to solve the system of time-discretized equations. For the spatial discretization in this approach, we take the second-order central differences on the staggered grids. We illustrate the performance of the algorithm by performing several 2-D numerical experiments of unsteady flow interacting with solid object. From the numerical results, we find that this simple artificial compressibility immersed boundary method with direct forcing can achieve reasonable results for 2-D fluid-solid interaction problems.
|
author2 |
Suh-Yuh Yang |
author_facet |
Suh-Yuh Yang Yi-Hao Chang 張益豪 |
author |
Yi-Hao Chang 張益豪 |
spellingShingle |
Yi-Hao Chang 張益豪 Numerical Simulation of Unsteady Complex Flows Using an Artificial Compressibility-Immersed Boundary Method with Direct Forcing |
author_sort |
Yi-Hao Chang |
title |
Numerical Simulation of Unsteady Complex Flows Using an Artificial Compressibility-Immersed Boundary Method with Direct Forcing |
title_short |
Numerical Simulation of Unsteady Complex Flows Using an Artificial Compressibility-Immersed Boundary Method with Direct Forcing |
title_full |
Numerical Simulation of Unsteady Complex Flows Using an Artificial Compressibility-Immersed Boundary Method with Direct Forcing |
title_fullStr |
Numerical Simulation of Unsteady Complex Flows Using an Artificial Compressibility-Immersed Boundary Method with Direct Forcing |
title_full_unstemmed |
Numerical Simulation of Unsteady Complex Flows Using an Artificial Compressibility-Immersed Boundary Method with Direct Forcing |
title_sort |
numerical simulation of unsteady complex flows using an artificial compressibility-immersed boundary method with direct forcing |
publishDate |
2018 |
url |
http://ndltd.ncl.edu.tw/handle/vdhx52 |
work_keys_str_mv |
AT yihaochang numericalsimulationofunsteadycomplexflowsusinganartificialcompressibilityimmersedboundarymethodwithdirectforcing AT zhāngyìháo numericalsimulationofunsteadycomplexflowsusinganartificialcompressibilityimmersedboundarymethodwithdirectforcing AT yihaochang fēiwěntàifùzáliútǐderénzàoyāsuōxìngzhíjiēshīlìchénjìnbiānjièfǎshùzhímónǐ AT zhāngyìháo fēiwěntàifùzáliútǐderénzàoyāsuōxìngzhíjiēshīlìchénjìnbiānjièfǎshùzhímónǐ |
_version_ |
1719293777093328896 |