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Volume 27, Issue 1
An Implicit Scheme for Moving Walls and Multi-Material Interfaces in Weakly Compressible Materials

Emanuela Abbate, Angelo Iollo & Gabriella Puppo

DOI: 10.4208/cicp.OA-2018-0188

Commun. Comput. Phys., 27 (2020), pp. 116-144.

Published online: 2019-10

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  • Abstract

We propose a numerical method for the simulation of flows from weakly compressible to low Mach regimes in domains with moving boundaries. Non-miscible weakly compressible materials separated by an interface are included as well. The scheme is fully implicit and it exploits the relaxation all-speed scheme introduced in [1]. We consider media with significantly different physical properties and constitutive laws, as fluids and hyperelastic solids. The proposed numerical scheme is fully Eulerian and it is the same for all materials. We present numerical validations by simulating weakly compressible fluid/fluid, solid/solid and solid/fluid interactions.

  • Keywords

Multi-material interfaces, moving boundaries, low Mach regime, Eulerian elasticity.

  • AMS Subject Headings

65M08, 65M99, 76T15

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

eabbate@uninsubria.it (Emanuela Abbate)

angelo.iollo@inria.fr (Angelo Iollo)

gabriella.puppo@uniroma1.it (Gabriella Puppo)

  • BibTex
  • RIS
  • TXT
@Article{CiCP-27-116, author = {Abbate , EmanuelaIollo , Angelo and Puppo , Gabriella}, title = {An Implicit Scheme for Moving Walls and Multi-Material Interfaces in Weakly Compressible Materials}, journal = {Communications in Computational Physics}, year = {2019}, volume = {27}, number = {1}, pages = {116--144}, abstract = {

We propose a numerical method for the simulation of flows from weakly compressible to low Mach regimes in domains with moving boundaries. Non-miscible weakly compressible materials separated by an interface are included as well. The scheme is fully implicit and it exploits the relaxation all-speed scheme introduced in [1]. We consider media with significantly different physical properties and constitutive laws, as fluids and hyperelastic solids. The proposed numerical scheme is fully Eulerian and it is the same for all materials. We present numerical validations by simulating weakly compressible fluid/fluid, solid/solid and solid/fluid interactions.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2018-0188}, url = {http://global-sci.org/intro/article_detail/cicp/13316.html} }
TY - JOUR T1 - An Implicit Scheme for Moving Walls and Multi-Material Interfaces in Weakly Compressible Materials AU - Abbate , Emanuela AU - Iollo , Angelo AU - Puppo , Gabriella JO - Communications in Computational Physics VL - 1 SP - 116 EP - 144 PY - 2019 DA - 2019/10 SN - 27 DO - http://doi.org/10.4208/cicp.OA-2018-0188 UR - https://global-sci.org/intro/article_detail/cicp/13316.html KW - Multi-material interfaces, moving boundaries, low Mach regime, Eulerian elasticity. AB -

We propose a numerical method for the simulation of flows from weakly compressible to low Mach regimes in domains with moving boundaries. Non-miscible weakly compressible materials separated by an interface are included as well. The scheme is fully implicit and it exploits the relaxation all-speed scheme introduced in [1]. We consider media with significantly different physical properties and constitutive laws, as fluids and hyperelastic solids. The proposed numerical scheme is fully Eulerian and it is the same for all materials. We present numerical validations by simulating weakly compressible fluid/fluid, solid/solid and solid/fluid interactions.

Abbate , EmanuelaIollo , Angelo and Puppo , Gabriella. (2019). An Implicit Scheme for Moving Walls and Multi-Material Interfaces in Weakly Compressible Materials. Communications in Computational Physics. 27 (1). 116-144. doi:10.4208/cicp.OA-2018-0188
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