Low-dissipation BVD schemes for single and multi-phase compressible flows on unstructured grids

Cheng, Lidong; Deng, Xi; Xie, Bin; Jiang, Yi; Xiao, Feng

doi:10.1016/j.jcp.2020.110088

Cited by 21 publications

(19 citation statements)

References 74 publications

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“…It needs to be highlighted that the results have been non-dimensionalised with respect to the diameter of the bubble at the time that the shock hits the bubble [44,51,72]. The time intervals that have been used to average the velocities are [10,52] µs for the upstrean interface, [140, 240] µs for the jet, and [140, 240] µs for the downstream interface. It can be noticed that all the obtained predictions are within the variations of the experiment, and in close agreement with the computational results of [13] The results obtained in terms of the averaged velocities of the jet, upstream and downstream interface are in good agreement with the experimental results of Haas and Sturtevant [27], and the computational results of Coralic and Colonius [13] as shown in Table 2.…”

Section: Helium Bubble Shock Wavementioning

confidence: 99%

CWENO Finite-Volume Interface Capturing Schemes for Multicomponent Flows Using Unstructured Meshes

et al. 2021

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In this paper we extend the application of unstructured high-order finite-volume central-weighted essentially non-oscillatory (CWENO) schemes to multicomponent flows using the interface capturing paradigm. The developed method achieves high-order accurate solution in smooth regions, while providing oscillation free solutions at discontinuous regions. The schemes are inherently compact in the sense that the central stencils employed are as compact as possible, and that the directional stencils are reduced in size, therefore simplifying their implementation. Several parameters that influence the performance of the schemes are investigated, such as reconstruction variables and their reconstruction order. The performance of the schemes is assessed under a series of stringent test problems consisting of various combinations of gases and liquids, and compared against analytical solutions, computational and experimental results available in the literature. The results obtained demonstrate the robustness of the new schemes for several applications, as well as their limitations within the present interface-capturing implementation.

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Section: Helium Bubble Shock Wavementioning

confidence: 99%

CWENO Finite-Volume Interface Capturing Schemes for Multicomponent Flows Using Unstructured Meshes

et al. 2021

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“…THINC scheme was developed for capturing moving interfaces or free boundaries in multiphase flows [29,30,47,48,31]. Thanks to its monotonicity and capability to mimic the step-like profile, the THINC reconstruction is also well suited for computing compressible flows including discontinuous solutions with appealing stability and high resolution [22,23,25,24,26,27]. In the THINC scheme, the physical quantity q is reconstructed by a hyperbolic tangent function as…”

Section: Candidate Interpolant 2: Thinc Schemementioning

confidence: 99%

“…Based on the observation that the dissipation term in the approximate Riemann solvers can be effectively reduced by minimizing the difference between the reconstructed left-and right-side values at cell boundaries (referred to as BV (boundary variation)), a new class of reconstruction schemes so-called BVD (Boundary Variation Diminishing) schemes have been proposed in [18,19,20,21,22,23,24,25,26,27,28]. The first BVD scheme [18], so-called WENO-THINC-BVD scheme, switches the reconstruction function to WENO scheme for smooth solutions and THINC (Tangent of Hyperbola for INterface Capturing) for discontinuous solutions.…”

Section: Introductionmentioning

confidence: 99%

Symmetry-preserving enforcement of low-dissipation method based on boundary variation diminishing principle

Wakimura¹,

Takagi²,

Xiao³

2021

Preprint

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A class of high-order shock-capturing schemes, P n T m -BVD (Deng et al., J. Comp. Phys., 386:323-349, 2019; Comput. & Fluids, 200:104433, 2020.) schemes, have been devised to solve the Euler equations with substantially reduced numerical dissipation, which enable high-resolution simulations to resolve flow structures of wider range scales. In such simulations with low dissipation, errors of round-off level might grow and contaminate the numerical solutions. A typical example of such problems is the loss of symmetry in the numerical solutions for physical problems of symmetric configurations even if the schemes are mathematically in line with the symmetry rules. In this study, the mechanisms of symmetry-breaking in a finite volume framework with the P 4 T 2 -BVD reconstruction scheme are thoroughly examined. Particular attention has been paid to remove the possible causes due to the lack of associativity in floating-point arithmetic which is associated with round-off errors. Modifications and new techniques are proposed to completely remove the possible causes for symmetry breaking in different components of the P 4 T 2 -BVD finite volume solver. Benchmark tests that have symmetric solution structures are used to verify the proposed methods. The numerical results demonstrate the perfect symmetric solution structures.

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“…For instance, an accurate and robust Mach-uniform numerical model on unstructured grids was proposed with BVD treatment by Xie et al [18]. Low-dissipation methods based on the BVD idea are presented by Deng et al [37] and Chen et al [45] using the second-order monotonic upstream-centered scheme for conservation laws (MUSCL), the tangent of hyperbola for interface capturing (THINC) scheme, and the variant of THINC [46] scheme.…”

Section: Introductionmentioning

confidence: 99%

Boundary variation diminished conservative semi-Lagrangian method for both compressible and incompressible flows

Xia

Yokoi

et al. 2021

Physics of Fluids

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Low-dissipation BVD schemes for single and multi-phase compressible flows on unstructured grids

Cited by 21 publications

References 74 publications

CWENO Finite-Volume Interface Capturing Schemes for Multicomponent Flows Using Unstructured Meshes

CWENO Finite-Volume Interface Capturing Schemes for Multicomponent Flows Using Unstructured Meshes

Symmetry-preserving enforcement of low-dissipation method based on boundary variation diminishing principle

Boundary variation diminished conservative semi-Lagrangian method for both compressible and incompressible flows

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