An improved characteristic based volume penalization method for the Euler equations towards icing applications

Lavoie, P.; Radenac, Emmanuel; Blanchard, Ghislain; Laurendeau, Éric; Villedieu, Philippe

doi:10.1016/j.compfluid.2021.104917

Cited by 10 publications

(24 citation statements)

References 27 publications

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Section: Introductionmentioning

confidence: 99%

“…The CBVP method was demonstrated for scalar diffusion equations and compressible Navier-Stokes equations for a variety of boundary conditions for both stationary and moving obstacles and was extended to Euler equations [44,45] for stationary obstacles. Lavoie et al [45] suggested using modified boundary conditions to impose conservation of entropy and total enthalpy in the wall-normal direction instead of adiabatic boundary conditions used in [44], which lead to more accurate results on coarse meshes. However, even though the results of simulation of compressible flows using the compressible BP [36] and CBVP [43] methods were demonstrated to be accurate, as pointed out in Reference [46], mathematically, both formulations were not actually Galilean-invariant.…”

Section: Introductionmentioning

confidence: 99%

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Galilean-Invariant Characteristic-Based Volume Penalization Method for Supersonic Flows with Moving Boundaries

Kasimov

Dymkoski²,

Stefano

et al. 2021

Fluids

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This work extends the characteristic-based volume penalization method, originally developed and demonstrated for compressible subsonic viscous flows in (J. Comput. Phys. 262, 2014), to a hyperbolic system of partial differential equations involving complex domains with moving boundaries. The proposed methodology is shown to be Galilean-invariant and can be used to impose either homogeneous or inhomogeneous Dirichlet, Neumann, and Robin type boundary conditions on immersed boundaries. Both integrated and non-integrated variables can be treated in a systematic manner that parallels the prescription of exact boundary conditions with the approximation error rigorously controlled through an a priori penalization parameter. The proposed approach is well suited for use with adaptive mesh refinement, which allows adequate resolution of the geometry without over-resolving flow structures and minimizing the number of grid points inside the solid obstacle. The extended Galilean-invariant characteristic-based volume penalization method, while being generally applicable to both compressible Navier–Stokes and Euler equations across all speed regimes, is demonstrated for a number of supersonic benchmark flows around both stationary and moving obstacles of arbitrary shape.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Galilean-Invariant Characteristic-Based Volume Penalization Method for Supersonic Flows with Moving Boundaries

Kasimov

Dymkoski²,

Stefano

et al. 2021

Fluids

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“…A linear growth is applied from the wall to the far-field (size: 4.0c). For this test case, the aerodynamic field is again evaluated using the penalized Euler equation of [6]. The pressure distribution Cp from Fig.…”

Section: High Curvature Ice Horn Casementioning

confidence: 99%

“…For the evaluation of the droplet trajectories, both Lagrangian and Eulerian solvers are available. An immersed boundary method (penalization) was previously developed for the Euler equations and presented in [6]. As a continuation, the objective of this paper is to apply the penalization method to the Eulerian solver for the droplet trajectories.…”

Section: Introductionmentioning

confidence: 99%

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A Penalization Method for Eulerian Droplet Impingement Simulations towards Icing Applications

Lavoie

Radenac²,

Blanchard³

et al. 2021

AIAA Scitech 2021 Forum

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The numerical prediction of in-flight ice accretion generally involves geometry updates and re-meshing as the ice builds up. However, the generation of body-fitted meshes around complex ice shapes is not trivial and can be repeated several times to obtain the final ice shape. The use of an immersed boundary method can simplify the mesh generation and help in the automation of the ice accretion process. This paper studies the application of an immersed boundary method to Eulerian droplet impingement simulations. A penalization method is suggested requiring only the addition of source terms in the continuous form of the equations. The wall boundary condition must be treated with care to avoid droplets re-injection in the computational domain from a solid boundary. This is solved by the introduction of a droplet mask function in addition to the usual solid mask, providing an automatic detection of the wall boundary condition and therefore avoiding droplet re-injection. The approach is tested on canonical cylinder cases and on more realistic NACA0012 airfoil and ice horn cases. The results show that the solution from a body-fitted simulation can be reproduced using the penalization method.

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A high-order pseudo arc-length method with positivity-preserving flux limiter for compressible multi-medium flows

Ma,

Li,

Wang

2024

Computers & Fluids

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An improved characteristic based volume penalization method for the Euler equations towards icing applications

Cited by 10 publications

References 27 publications

Galilean-Invariant Characteristic-Based Volume Penalization Method for Supersonic Flows with Moving Boundaries

Galilean-Invariant Characteristic-Based Volume Penalization Method for Supersonic Flows with Moving Boundaries

A Penalization Method for Eulerian Droplet Impingement Simulations towards Icing Applications

A high-order pseudo arc-length method with positivity-preserving flux limiter for compressible multi-medium flows

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