A coupled ALE–AMR method for shock hydrodynamics

Waltz, Jacob; Bakosi, József

doi:10.1016/j.compfluid.2018.03.021

Cited by 10 publications

(5 citation statements)

References 42 publications

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“…The ALE method absorbs the advantages of the two methods and overcomes the disadvantages of each method. It has wide applicability in simulating impact, explosion, fluid-structure interaction and other problems [10][11] . The ideal gas model is used to define the air material.…”

Section: Fluid-structure Interactionmentioning

confidence: 99%

Fatigue life prediction of aircraft gun cabin structure under impact

Ding

Wang

2023

J. Phys.: Conf. Ser.

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The aircraft gun firing will cause serious impact on airframe structure. According to the gun firing principle, the muzzle blast wave is simulated by chemical explosion. ALE method is used to deal with the fluid-structure interaction between high-pressure flowing air and the surface of the cabin. Then the expression model of the impact load is established. The numerical calculation is completed to analyse the dynamic response of the cabin structure under the impact load. The parameters of load and cabin model are modified by using the experiment results. Comparing the calculated dynamic response with the experiment results, the error is within acceptable range. Multiaxial stress equivalence and rain-flow counting method are used to process the simulation impact response data to estimate the impact fatigue life. In conclusion, the paper provides a feasible method for analysing dynamic response and fatigue life of gun cabin structure.

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Section: Fluid-structure Interactionmentioning

confidence: 99%

Fatigue life prediction of aircraft gun cabin structure under impact

Ding

Wang

2023

J. Phys.: Conf. Ser.

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“…), or, by maintaining a base mesh, but refining and coarsening the cells where appropriate (local AMR [5,4,47]). These two techniques may occasionally be coupled together [42,59]. The local AMR technique has become popular because it allows saving of a large amount of computational resources when the solution presents only localised features and large zones away from perturbations.…”

Section: Introductionmentioning

confidence: 99%

A MOOD-like compact high order finite volume scheme with adaptive mesh refinement

Loubère

Turpault

Bourriaud

2023

Applied Mathematics and Computation

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“…For example, the arbitrary Lagrange-Euler (ALE) 25,26 method can combine the Lagrangian and Euler descriptions such that the cell nodes follow the material movement or remain fixed; this helps exploit and overcome the shortcoming of each method. Waltz et al 27 combined ALE with adaptive mesh refinement 28 to simulate an impact fluid problem on an unstructured grid. Pan et al 29 proposed a high-order gas dynamics scheme based on ALE that updates the flux within a finite volume frame, captures the discontinuities by moving the grid, and improves the accuracy and robustness through the newly developed WENO scheme.…”

Section: Introductionmentioning

confidence: 99%

A novel coupled Euler–Lagrange method for high resolution shock and discontinuities capturing

Jin,

Ning,

2023

Numerical Methods in Fluids

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The accurate capturing of shock waves by numerical methods has long been a focus of attention in engineering owing to singularity problems in discontinuities. In this article, a novel coupled Euler–Lagrange method (CELM) is proposed to capture shock waves and discontinuities with high resolution and high order of mapping accuracy. CELM arranges the Lagrange particles on an Euler grid to track the discontinuous points automatically, and the data pertaining to the grids and particles interact via a weighted mutual mapping method that not only achieves fourth‐order accuracy in a smooth area of the solution but also maintains a steep discontinuous transition in the discontinuous area. In the virtual particle method, virtual particles are derived from the existing real particles; thus, the inflow and outflow of the particles and interpolation accuracy of the boundary are more easily realized. An accuracy test and energy convergence test demonstrated the fourth‐order convergence accuracy and low energy dissipation of the CELM; the method exhibited lower error and better conservation ability than high‐precision schemes such as WENO3 and WENO5. The Sod shock tube problem and Woodward–Colella problem showed higher discontinuity resolution of the CELM and ability to accurately track discontinuity points. Examples of Riemann problems were employed to prove that the CELM exhibits lower dissipation and higher shock resolution than WENO3 and WENO5. The CELM also showed an accurate structure based on particle distribution. Shockwave diffraction tests were conducted to prove that the CELM results showed good agreement with the experimental data and exhibited an accurate expansion wave. The CELM can also accurately simulate the collision of an expansion wave and vortex.

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A coupled ALE–AMR method for shock hydrodynamics

Cited by 10 publications

References 42 publications

Fatigue life prediction of aircraft gun cabin structure under impact

Fatigue life prediction of aircraft gun cabin structure under impact

A MOOD-like compact high order finite volume scheme with adaptive mesh refinement

A novel coupled Euler–Lagrange method for high resolution shock and discontinuities capturing

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