A shock-fitting technique for cell-centered finite volume methods on unstructured dynamic meshes

Zou, De Gao; Xu, Chunguang; Dong, Haibo; Li, Jun

doi:10.1016/j.jcp.2017.05.047

Cited by 24 publications

(21 citation statements)

References 29 publications

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“…Recent works by Paciorri and Bonfiglioli, Bonfiglioli et al, Bonfiglioli and Paciorri, and Bonfiglioli et al have greatly extended the range of application of these methods and clearly demonstrated the advantage of preserving design accuracy in the vicinity of a shock, a property sacrificed by standard shock‐capturing methods. A more recent work includes the shock‐fitting approach of Zou et al for cell‐centered finite volume methods on unstructured dynamic meshes. An ongoing difficulty with existing shock‐fitting approaches is treating shocks or interfaces whose topologies are unknown a priori or whose topologies change in time.…”

Section: Introductionmentioning

confidence: 99%

A moving discontinuous Galerkin finite element method for flows with interfaces

Corrigan

Kercher

Kessler

2018

Numerical Methods in Fluids

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Summary A moving discontinuous Galerkin finite element method with interface condition enforcement is formulated for flows with discontinuous interfaces. The underlying weak formulation enforces the interface condition separately from the conservation law, so that the residual only vanishes upon satisfaction of both. In this formulation, the discrete grid geometry is treated as a variable, so that, in contrast to the standard discontinuous Galerkin method, this method has both the means to detect interfaces, via interface condition enforcement, and to satisfy, via grid movement, the conservation law and its associated interface condition. The method therefore directly fits interfaces, including shocks, preserving a high‐order representation up to the interface without requiring shock capturing or an upwind numerical flux to achieve stability. It can be generalized to flows with a priori unknown interfaces with nontrivial topology and curved interface geometry as well as to an arbitrary number of spatial dimensions. Unsteady flows are represented in a manner similar to steady flows using a space‐time formulation. In addition to computing flows with interfaces, the method can represent point singularities in a flow field by degenerating cuboid elements. In general, the method works in conjunction with standard local grid operations, including edge collapse, to ensure that degenerate cells are removed. Test cases are presented for up to three‐dimensional flows that provide an initial assessment of the stability and accuracy of the method.

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Section: Introductionmentioning

confidence: 99%

A moving discontinuous Galerkin finite element method for flows with interfaces

Corrigan

Kercher

Kessler

2018

Numerical Methods in Fluids

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“…The Riemann variable defined by Eq. (14), which is the only quantity that has been correctly computed onΓ D by the unstructured shockcapturing solver, has to be transferred fromΓ D to Γ D using Eq. (15).…”

Section: Downstream: Fromγ D To γ Dmentioning

confidence: 99%

Extrapolated Shock Tracking: Bridging shock-fitting and embedded boundary methods

Ciallella

Ricchiuto

Paciorri

et al. 2020

Journal of Computational Physics

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We propose a novel approach to approximate numerically shock waves. The method combines the unstructured shock-fitting approach developed in the last decade by some of the authors, with ideas coming from embedded boundary techniques. The numerical method obtained allows avoiding the remeshing phase required by the unstructured fitting method, while guaranteeing accuracy properties very close to those of the fitting approach. This new method has many similarities with front tracking approaches, and paves the way to shock-tracking techniques truly independent on the data and mesh structure used by the flow solver. The approach is tested on several problems showing accuracy properties very close to those of more expensive fitting methods, with a considerable gain in flexibility and generality.

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“…The mathematical model meshes in real time were modified by exploiting the moving mesh technology of both the elastic smoothing and the local reconstruction to adapt to the transient displacement variation caused by the coupling effects of the piped carriage [54]. Numerical investigations (non-steady state) using the RNG k-ε turbulent model were conducted on the hydraulic characteristics of the piped carriage transport within the horizontal pipelines.…”

Section: Bidirectional Fluid-structure Interaction Algorithmmentioning

confidence: 99%

Effects of Guide Vane Placement Angle on Hydraulic Characteristics of Flow Field and Optimal Design of Hydraulic Capsule Pipelines

Zhang

Sun

et al. 2018

Water

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With the rapid growth of agricultural trade volumes, the transportation of agricultural products has received widespread attention from society. Aiming at these problems of low transport efficiency and high transport cost in long-distance transport of agricultural products, an energy-saving and environmental-friendly transport mode of agricultural machinery-hydraulic capsule pipelines (HCPs)-was proposed. HCPs effectively solve issues like traffic congestion, energy crises, and atmospheric pollution. Published literature is mainly limited to the capsule speed and the pressure drop characteristics of the fluid within the pipelines. This research was conducted on the following four aspects of HCPs. Firstly, the structure of the carrier was improved and called a 'piped carriage'. Secondly, a coupled solution between the structural domain of the piped carriage and the fluid domain within the pipelines was numerically investigated by using the commercial CFD software ANSYS Fluent 12.0 based on the bidirectional fluid-structure interaction methods. Thirdly, the effects of guide vane placement angle on hydraulic characteristics of the internal flow field within the horizontal pipelines transporting the piped carriage were extensively evaluated. Finally, based on least-cost principle, an optimization model of HCPs was established. The results indicated that the simulated results were in good agreement with the experimental results, which further demonstrated that it was feasible to adopt the bidirectional fluid-structure interaction methods for solving the hydraulic characteristics of the internal flow field when the piped carriage was moving along the pipelines. This article will provide an abundant theoretical foundation for the rational design of HCPs and its popularization and application.

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A shock-fitting technique for cell-centered finite volume methods on unstructured dynamic meshes

Cited by 24 publications

References 29 publications

A moving discontinuous Galerkin finite element method for flows with interfaces

A moving discontinuous Galerkin finite element method for flows with interfaces

Extrapolated Shock Tracking: Bridging shock-fitting and embedded boundary methods

Effects of Guide Vane Placement Angle on Hydraulic Characteristics of Flow Field and Optimal Design of Hydraulic Capsule Pipelines

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