Imperial College London
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DrMichaelBluck

Faculty of Engineering, Department of Mechanical Engineering

Reader in Nuclear Engineering
 
 
 
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Contact

 

+44 (0)20 7594 7055m.bluck

 
 
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Location

 

658City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Ahn:2019:10.1137/18M1182401,
author = {Ahn, J and Bluck, M},
doi = {10.1137/18M1182401},
journal = {SIAM Journal on Scientific Computing},
pages = {B396--B424},
title = {Isogeometric analysis of the steady-state incompressible mhd equations},
url = {http://dx.doi.org/10.1137/18M1182401},
volume = {41},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - This  paper  presents  an  isogeometric  (IGA)  solver  for  steady-state  incompressiblemagnetohydrodynamics (MHD). MHD is the study of the behavior of electrically conducting fluidsand can be viewed mathematically as a coupled system:  the Navier--Stokes equations (for the fluid)and a reduced form of Maxwell's equations (for the electromagnetic field).  A key feature of MHDflow is the potential development of very strong shear, usually in proximity to walls.  This resultsin  two  correlated  demands  on  numerical  simulation:  the  need  to  represent  the  geometry  and  thenear-wall  shear  accurately.   In  addition,  for  both  the  Navier--Stokes  and  the  Maxwell's  equations,appropriate discretizations are required for the problem to be well-posed.  IGA analysis is a variant ofthe conventional finite element (FE) method, but utilizing the underlying approximations commonlyused  in  computer-aided  design  (CAD)  to  represent  geometry,  basis  functions,  and  test  functions.As  a  result,  IGA  can  represent  curved  shapes  such  as  circles  and  conic  sections  exactly  using  B-splines and nonuniform rational B-splines (NURBS). Furthermore, IGA can obtain much improvedaccuracy in the computed solution,  for a given number of degrees of freedom,  due to its inherentsmoothness  and  higher  continuity  of  basis  functions  when  compared  with  standard  FE  and  finitevolume (FV) methods.  To address the issue of well-posedness,  a set of stable IGA discretizationsfor the Navier--Stokes and Maxwell's equations is developed and incorporated into the IGA solver.A detailed convergence study is carried out to verify the convergence, accuracy, and performance ofthe IGA scheme for certain benchmark cases.
AU  - Ahn,J
AU  - Bluck,M
DO  - 10.1137/18M1182401
EP  - 424
PY  - 2019///
SN  - 1064-8275
SP  - 396
TI  - Isogeometric analysis of the steady-state incompressible mhd equations
T2  - SIAM Journal on Scientific Computing
UR  - http://dx.doi.org/10.1137/18M1182401
UR  - https://epubs.siam.org/doi/10.1137/18M1182401
UR  - http://hdl.handle.net/10044/1/67925
VL  - 41
ER  -
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