This paper is devoted to the study of convergence orders of several numerical methods that are implemented in the TrioCFD code dedicated to the simulation of turbulent flows and heat transfer in nuclear engineering applications. The spatial discretization is based on Finite Difference-Volume or Finite Element-Volume methods. A projection method is applied to update the velocity and the pressure. The time scheme can be either explicit or implicit, and hexahedral or tetrahedral meshes can be used for simulations. In this paper, the test cases are relative to steady Stokes problems, steady and unsteady Navier-Stokes problems, and finally the well-known lid-driven cavity flow case. The latter proposes several comparisons between our simulations and numerical data already published in the literature, while the other cases yield the values of convergence orders by using the analytical solutions. The accuracy of the results obtained with TrioCFD differs according to the types of mesh used for simulations, the viscosity values or the source terms in the equations.
International audienceThe objective of this work is to present a conservative coupling method between an inviscid compressible fluid and a deformable structure. The coupling hinges on a Conservative Immersed Boundary method in combination with a Finite Volume method for the fluid and a Discrete Element method for the deformable structure. A time semi-implicit approach is used for the computation of the energy and momentum transfer between the solid and the fluid. The coupling method yields exact conservation of mass, momentum, and energy of the system, and also exhibits consistency properties, such as conservation of uniform movement of both fluid and solid, absence of numerical roughness on a straight boundary, and preservation of a constant fluid state around a wall having tangential deformation velocity. The performance of the method is assessed on test cases involving two and three-dimensional deformable solids with large displacements interacting with shocked fluids
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