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Volume 15, Issue 5
An Accurate Cartesian Method for Incompressible Flows with Moving Boundaries

M. Bergmann, J. Hovnanian & A. Iollo

DOI: 10.4208/cicp.220313.111013a

Commun. Comput. Phys., 15 (2014), pp. 1266-1290.

Published online: 2014-05

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  • Abstract

An accurate cartesian method is devised to simulate incompressible viscous flows past an arbitrary moving body. The Navier-Stokes equations are spatially discretized onto a fixed Cartesian mesh. The body is taken into account via the ghost-cell method and the so-called penalty method, resulting in second-order accuracy in velocity. The accuracy and the efficiency of the solver are tested through two-dimensional reference simulations. To show the versatility of this scheme we simulate a three-dimensional self propelled jellyfish prototype.

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@Article{CiCP-15-1266, author = {M. Bergmann, J. Hovnanian and A. Iollo}, title = {An Accurate Cartesian Method for Incompressible Flows with Moving Boundaries}, journal = {Communications in Computational Physics}, year = {2014}, volume = {15}, number = {5}, pages = {1266--1290}, abstract = {

An accurate cartesian method is devised to simulate incompressible viscous flows past an arbitrary moving body. The Navier-Stokes equations are spatially discretized onto a fixed Cartesian mesh. The body is taken into account via the ghost-cell method and the so-called penalty method, resulting in second-order accuracy in velocity. The accuracy and the efficiency of the solver are tested through two-dimensional reference simulations. To show the versatility of this scheme we simulate a three-dimensional self propelled jellyfish prototype.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.220313.111013a}, url = {http://global-sci.org/intro/article_detail/cicp/7137.html} }
TY - JOUR T1 - An Accurate Cartesian Method for Incompressible Flows with Moving Boundaries AU - M. Bergmann, J. Hovnanian & A. Iollo JO - Communications in Computational Physics VL - 5 SP - 1266 EP - 1290 PY - 2014 DA - 2014/05 SN - 15 DO - http://doi.org/10.4208/cicp.220313.111013a UR - https://global-sci.org/intro/article_detail/cicp/7137.html KW - AB -

An accurate cartesian method is devised to simulate incompressible viscous flows past an arbitrary moving body. The Navier-Stokes equations are spatially discretized onto a fixed Cartesian mesh. The body is taken into account via the ghost-cell method and the so-called penalty method, resulting in second-order accuracy in velocity. The accuracy and the efficiency of the solver are tested through two-dimensional reference simulations. To show the versatility of this scheme we simulate a three-dimensional self propelled jellyfish prototype.

M. Bergmann, J. Hovnanian and A. Iollo. (2014). An Accurate Cartesian Method for Incompressible Flows with Moving Boundaries. Communications in Computational Physics. 15 (5). 1266-1290. doi:10.4208/cicp.220313.111013a
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