Numerical Modelling of Contact Elastic-Plastic Flows

Properties of blood cells and their interaction determine their distribution in flow. It is observed experimentally that erythrocytes migrate to the flow axis, platelets to the vessel wall, and leucocytes roll along the vessel wall. In this work, a three-dimensional model based on Dissipative Particle Dynamics method and a new hybrid (discrete-continuous) model for blood cells is used to study the interaction of erythrocytes with platelets and leucocytes in flow. Erythrocytes are modelled as elastic highly deformable membranes, while platelets and leucocytes as elastic membranes with their shape close to a sphere. Separation of erythrocytes and platelets in flow is shown for different values of hematocrit. Erythrocyte and platelet distributions are in a good qualitative agreement with the existing experimental results. Migration of leucocyte to the vessel wall and its rolling along the wall is observed.

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“…After formulating the governing equations, let us discuss their approximation [4]. Consider the triangular element ( Figure 2).…”

Section: Modified Erythrocyte Modelmentioning

confidence: 99%

Numerical Modelling of Cell Distribution in Blood Flow

Bessonov

Babushkina

Golovashchenko

et al. 2014

Math. Model. Nat. Phenom.

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“…It should be mentioned that there are other finite volume approaches in which the development of contact modelling is lately gaining more attention. An example are works from Bessenov et al, 20 Rucnie et al, 21 and Haider et al 22 in which the authors propose contact algorithms intended for explicit finite difference and vertex‐centred finite volume frameworks.…”

Section: Introductionmentioning

confidence: 99%

A finite volume penalty‐based implicit procedure for the treatment of the frictionless contact boundaries

Batistić

Cardiff

Ivanković

et al. 2023

Numerical Meth Engineering

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This article presents a new implicit coupling procedure for mechanical contact simulations using an implicit cell‐centred finite volume method. Both contact boundaries are treated as Neumann conditions, where the prescribed contact force is calculated using a penalty law, which is linearised and updated within the iterative solution procedure. Compared to the currently available explicit treatment, the implicit treatment offers better efficiency for the same accuracy. This is achieved with the proposed implicit linearisation, which replaces the explicit under‐relaxation of the contact force. The proposed procedure, intended for frictionless contact of Hookean solids, can handle non‐conformal contact interface discretisations and faces in partial contact. The accuracy and efficiency of the implicit approach are compared with the explicit procedure on four benchmark problems, where it is shown that the proposed method can significantly improve efficiency and robustness.

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“…The contact methodology developed by Cardiff was tested on several benchmark cases, and always compared well against the available analytical solutions or reference numerical solutions obtained with commercial FE codes. Recent efforts to improve the standard penalty method approach or create a valid alternative can be found in the works of Škuri ć et al 22 or Batisti ć et al 23 A few examples of other important contributions to the treatment of contact mechanics with the FV (outside the cell-center approach considered in this text) are the works from Taylor et al, 24 Bessonov et al, 25 and Suliman et al 26 The present work was motivated by the simulation of the thermo-mechanical contact taking place in the fuel rods of commercial nuclear power plants. [27][28][29] Treating the contact between the ceramic oxide fuel pellets and the slender metallic cladding is a complex task.…”

Section: Introductionmentioning

confidence: 99%

Development of a semi‐implicit contact methodology for finite volume stress solvers

Scolaro

Clifford

Pautz

2021

Numerical Meth Engineering

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The past decades have seen numerous efforts to apply the finite volume methodology to solid mechanics problems. However, only limited work has been done by the finite volume community toward the simulation of mechanical contact. In this article, we present a novel semi-implicit methodology for the solution of static force-loading contact problems with cell-centered finite volume codes. Starting from the similarities with multi-material problems, we derive an implicit discretization scheme for the normal contact stress with a straightforward inclusion of frictional forces and correction vectors for non-orthogonal boundaries. With the introduction of a sigmoid blending function interpolating between contact stresses and gap pressure, the proposed approach is extended to cases with partially closed gap. The contact procedure is designed around an arbitrary mesh mapping algorithm to allow for non-conformal meshes at the contact interface between the two bodies. Finally, we verify the contact methodology against five benchmarks cases.

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Numerical Modelling of Contact Elastic-Plastic Flows

Cited by 10 publications

References 68 publications

Numerical Modelling of Cell Distribution in Blood Flow

Numerical Modelling of Cell Distribution in Blood Flow

A finite volume penalty‐based implicit procedure for the treatment of the frictionless contact boundaries

Development of a semi‐implicit contact methodology for finite volume stress solvers

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