Dissipative spatial discretization of a phase field model of multiphase multicomponent isothermal fluid flow

Balashov, V. A.

doi:10.1016/j.camwa.2021.03.013

Cited by 14 publications

(2 citation statements)

References 45 publications

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“…The liquid phase is continuous, but the solid particle phases in drilling fluid are discrete and need to be discretized. Using computational fluid dynamics, the process of drilling fluid erosion valve head can be analyzed by a discrete phase model [12,13]. This kind of model adopts the Euler-Lagrange method for operation.…”

Section: Discrete Phase Modelmentioning

confidence: 99%

Flow field and erosion characteristics of the valve head of a vertical well inclinometer

Wang

Zhang

et al. 2023

J. Phys.: Conf. Ser.

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During the drilling, the flow field characteristics of the vertical well inclinometer are complex. In a harsh underground environment, the valve head is prone to erode and wear. To overcome these disadvantages, the three-dimensional (3D) model of the valve head of a vertical well inclinometer was developed, and the flow field and erosion characteristics were simulated by using a numerical program. Results show that the maximum velocity and the maximum turbulence effect occur at the throttling inlet through which the drilling fluid passes the guide sleeve. By analyzing the particle trajectory of the discrete phase model, it is found that the particles above the valve head surface have obvious accumulation and rebound phenomena and that the erosion effect appears to some extent on the valve head surface. Analysis of the shear stress on the surface of the valve head shows that the stress concentration occurs in the valve head directly impacted by the drilling fluid and in the groove of the flow drilling fluid, respectively. The feasibility and accuracy of the simulation are verified by comparing the theoretical results with that of the field test. This investigation can be used to explain the failure of the valve head of the vertical well inclinometer and provide the design and optimization of the valve head with scientific support.

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Section: Discrete Phase Modelmentioning

confidence: 99%

Flow field and erosion characteristics of the valve head of a vertical well inclinometer

Wang

Zhang

et al. 2023

J. Phys.: Conf. Ser.

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“…These methods are widely used for numerical solution of various applied problems. In the barotropic case, gas dynamics systems of equations with such regularizations were introduced and studied in [10][11][12][13], and their numerous applications to computer simulation were given for various 1D and 2D shallow water models [14][15][16][17][18][19], some 2D astrophysical problems [20] and the 2D and 3D compressible Navier-Stokes-Cahn-Hilliard models [21][22][23], etc. Despite of a lot of applications, almost nothing was known until recent years on rigorous theoretical conditions for stability of schemes with the QGD and QHD regularizations thus leading to additional time-consuming preliminary numerical experiments in order to choose the adequate parameters of schemes allowing to use larger values of ∆t.…”

Section: Introductionmentioning

confidence: 99%

On Conditions for L2-Dissipativity of an Explicit Finite-Difference Scheme for Linearized 2D and 3D Barotropic Gas Dynamics System of Equations with Regularizations

Злотник

2021

Symmetry

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We deal with 2D and 3D barotropic gas dynamics system of equations with two viscous regularizations: so-called quasi-gas dynamics (QGD) and quasi-hydrodynamics (QHD) ones. The system is linearized on a constant solution with any velocity, and an explicit two-level in time and symmetric three-point in each spatial direction finite-difference scheme on the uniform rectangular mesh is considered for the linearized system. We study L2-dissipativity of solutions to the Cauchy problem for this scheme by the spectral method and present a criterion in the form of a matrix inequality containing symbols of symmetric matrices of convective and regularizing terms. Analyzing these inequality and matrices, we also derive explicit sufficient conditions and necessary conditions in the Courant-type form which are rather close to each other. For the QHD regularization, such conditions are derived for the first time in 2D and 3D cases, whereas, for the QGD regularization, they improve those that have recently been obtained. Explicit formulas for a scheme parameter that guarantee taking the maximal time step are given for these conditions. An important moment is a new choice of an “average” spatial mesh step ensuring the independence of the conditions from the ratios of the spatial mesh steps and, for the QGD regularization, from the Mach number as well.

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Application of Regularized Finite Difference Scheme Based on staggered Grids for Numerical Simulation of Fluid Flow Within Rock Samples

Balashov

Савенков

2023

Springer Geology

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Dissipative spatial discretization of a phase field model of multiphase multicomponent isothermal fluid flow

Cited by 14 publications

References 45 publications

Flow field and erosion characteristics of the valve head of a vertical well inclinometer

Flow field and erosion characteristics of the valve head of a vertical well inclinometer

On Conditions for L2-Dissipativity of an Explicit Finite-Difference Scheme for Linearized 2D and 3D Barotropic Gas Dynamics System of Equations with Regularizations

Application of Regularized Finite Difference Scheme Based on staggered Grids for Numerical Simulation of Fluid Flow Within Rock Samples

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