Assessment of diffuse-interface methods for compressible multiphase fluid flows and elastic-plastic deformation in solids

Jain, Suhas S.; Adler, Michael C.; West, Jacob; Mani, Ali; Moin, Parviz; Lele, Sanjiva K.

doi:10.1016/j.jcp.2022.111866

Cited by 10 publications

(2 citation statements)

References 68 publications

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“…This problem consists in the interaction between a 2D helium bubble with a plane shock wave in air. This setup has been extensively studied to assess both numerical methods and mathematical models to deal with two-phase flows for supersonic regimes [47,48,49,50,51].…”

Section: Shock-bubble Interactionmentioning

confidence: 99%

A high-order diffused-interface approach for fully compressible two-phase flow simulations using a Discontinuous Galerkin method

Tonicello

Ihme

2023

AIAA SCITECH 2023 Forum

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The present work focuses on the generalisation of the Spectral Difference (SD) scheme to the reduced Baer-Nunziato system known as five-equation model for the simulation of two immiscible compressible fluids. This five equation model is considered with the additional Allen-Cahn regularisation to avoid both over-diffusion and over-thinning of the phase field representing the interface. Finally, in order to preserve contact discontinuities, in the reconstruction step of the spectral difference scheme, a change of variables from conservative to primitive is used. This approach is shown to be beneficial in avoiding pressure oscillations at material interfaces. An extensive series of numerical tests are proposed to assess accuracy and robustness of the present method. Both kinematic (Rider-Kothe vortex) and two-phase flow problems (Rayleigh-Taylor instability, shockdroplet interaction, Taylor-Green vortex) are considered.

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Section: Shock-bubble Interactionmentioning

confidence: 99%

A high-order diffused-interface approach for fully compressible two-phase flow simulations using a Discontinuous Galerkin method

Tonicello

Ihme

2023

AIAA SCITECH 2023 Forum

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“…Classical large deformation elastic-plastic problems were also attempted by using virtual element method [21]. Large deformation elastic-plastic dynamics were also solved by diffuse-interface methods which were originally used to solve multiphase fluid flows [22]. In the governing equations, two separate transport equations for elas-tic and plastic deformation tensors are combined with other conservation laws.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Wave in Hypo-Elastic-Plastic Solids Modeled by Eulerian Conservation Laws

Yang¹,

Lowe²

2023

Preprint

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This paper reports a theoretical and numerical framework to model nonlinear waves in elastic-plastic solids. Formulated in the Eulerian frame, the governing equations employed include the continuity equation, the momentum equation, and an elastic-plastic constitutive relation. The complete governing equations are a set of first-order, fully coupled partial differential equations with source terms. The primary unknowns are velocities and deviatoric stresses. By casting the governing equations into a vector-matrix form, we derive the eigenvalues of the Jacobian matrix to show the wave speeds. The eigenvalues are also used to calculate the Courant number for numerical stability. The model equations are solved using the Space-Time Conservation Element and Solution Element (CESE) method. The approach is validated by comparing our numerical results to an analytical solution for the special case of longitudinal wave motion.

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A computational model for transport of immiscible scalars in two-phase flows

Jain

Mani

2023

Journal of Computational Physics

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Assessment of diffuse-interface methods for compressible multiphase fluid flows and elastic-plastic deformation in solids

Cited by 10 publications

References 68 publications

A high-order diffused-interface approach for fully compressible two-phase flow simulations using a Discontinuous Galerkin method

A high-order diffused-interface approach for fully compressible two-phase flow simulations using a Discontinuous Galerkin method

Simulation of Wave in Hypo-Elastic-Plastic Solids Modeled by Eulerian Conservation Laws

A computational model for transport of immiscible scalars in two-phase flows

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