Abstract:This work describes a novel formulation for the simulation of incompressible Navier–Stokes problems involving nonconforming discretizations of membrane‐like bodies. The new proposal relies on the use of a modified finite element space within the elements intersected by the embedded geometry, which is represented by a discontinuous (or element‐by‐element) level set function. This is combined with a Nitsche‐based imposition of the general Navier‐slip boundary condition, to be intended as a wall law model. Thanks… Show more
“…More details on the implementation, convergence and accuracy analysis of the discontinuous Nitsche Navier-slip imposition can be found in [46]. This approach is also validated with data from biomedical in vitro experiments in [8].…”
“…1 This makes possible to represent the velocity and pressure discontinuities arising from the immersion of any body, regardless of its type (volumetric or volumeless). This formulation is enhanced in [46] by using a Nitsche method to impose a Navier-slip condition, allowing thus the representation of any wall behaviour from the no-slip to the slip limits.…”
Section: Embedded Mesh Methods In Fluid-structure Interaction Problem...mentioning
confidence: 99%
“…This subsection presents the two embedded methods that we employ to weakly impose the fluid BCs over the level set intersections. On the one hand, we use the modified Nitsche method presented in [40] for those bodies that have a well defined internal volume, On the other hand, we use the discontinuous formulation described in [46] for the membrane-like bodies that feature no internal volume. In the following, we briefly describe the particularities of each one of these approaches.…”
“…More details on the implementation, convergence and accuracy analysis of the discontinuous Nitsche Navier-slip imposition can be found in [46]. This approach is also validated with data from biomedical in vitro experiments in [8].…”
“…1 This makes possible to represent the velocity and pressure discontinuities arising from the immersion of any body, regardless of its type (volumetric or volumeless). This formulation is enhanced in [46] by using a Nitsche method to impose a Navier-slip condition, allowing thus the representation of any wall behaviour from the no-slip to the slip limits.…”
Section: Embedded Mesh Methods In Fluid-structure Interaction Problem...mentioning
confidence: 99%
“…This subsection presents the two embedded methods that we employ to weakly impose the fluid BCs over the level set intersections. On the one hand, we use the modified Nitsche method presented in [40] for those bodies that have a well defined internal volume, On the other hand, we use the discontinuous formulation described in [46] for the membrane-like bodies that feature no internal volume. In the following, we briefly describe the particularities of each one of these approaches.…”
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