Article
Computer Science, Interdisciplinary Applications
Javier Rivero-Rodriguez, Miguel Perez-Saborid, Benoit Scheid
Summary: The article discusses solving physical problems with partial differential equations in unknown domains using the Arbitrary Lagrangian-Eulerian (ALE) method, and introduces the Differential Boundary Arbitrary Lagrangian-Eulerian (DBALE) method, which is based on the boundary displacement satisfying a boundary partial differential equation, problem-independent, and leading to uniform mesh deformation.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Niklas Fehn, Johannes Heinz, Wolfgang A. Wall, Martin Kronbichler
Summary: This paper presents robust discontinuous Galerkin methods for the incompressible Navier-Stokes equations on moving meshes. It introduces high-order accurate arbitrary Lagrangian-Eulerian formulations in a unified framework for various types of Navier-Stokes solvers. Numerical validations demonstrate that the proposed formulations maintain the formal order of accuracy of the Navier-Stokes solvers in both space and time.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Dong Su, Zexiong Wu, Guoping Lei, Min Zhu
Summary: The installation effect of a jacked pile in silica sand is numerically investigated using a simplified state-dependent dilatancy model and the Arbitrary Lagrangian-Eulerian (ALE) technique. The results show that the capacity ratios between the jacked and wished-in-place piles become higher for long piles in dense sand.
COMPUTERS AND GEOTECHNICS
(2022)
Article
Mathematics, Applied
Liang Pan, Kun Xu
Summary: This paper presents a high-order gas-kinetic ALE scheme for three-dimensional flows, utilizing the WENO scheme for spatial reconstruction and a two-stage fourth-order discretization for temporal evolution. The scheme carefully addresses mesh distortion and non-coplanar vertexes by selecting candidate stencils and designing topologically independent linear weights, while using bilinear interpolation to preserve the geometric conservation law in surface integrals for flux transport. The accuracy, robustness, and preservation of geometric conservation law of the scheme are evaluated through numerical examples.
JOURNAL OF SCIENTIFIC COMPUTING
(2021)
Article
Engineering, Environmental
Abhijeet H. Thaker, Ketan R. Madane, Vivek V. Ranade
Summary: This study provides data and correlations on the influence of viscosity and device scale on cavitation inception and pressure drop in high viscosity systems. It also investigates the key flow characteristics of vortex based cavitation devices. The results show that pressure drop and cavitation inception increase with viscosity.
CHEMICAL ENGINEERING JOURNAL
(2023)
Article
Engineering, Mechanical
Yiqian Cheng, Qiang He, Weifeng Huang, Ying Liu, Yanwen Li, Decai Li
Summary: Physics-informed neural networks (PINNs) have been used to solve partial differential equations (PDEs) in various fields. In this study, a deep learning computational framework called HL-nets is proposed for computing the flow field of hydrodynamic lubrication with cavitation effects. Different cavitation conditions and penalty/imposing schemes are implemented to accurately solve the Reynolds equation. The results demonstrate the accuracy and potential of HL-nets in simulating hydrodynamic lubrication involving cavitation.
TRIBOLOGY INTERNATIONAL
(2023)
Article
Computer Science, Interdisciplinary Applications
Shun Liu, Xiaowei Tang, Yixiao Luan, Mahmood Ahmad
Summary: The decoupled ALE method developed in this research, based on operator splitting technique and soil water two-phase mixture theory, shows significant influence of Rayleigh damping coefficients on the deformation shape and response of underground structures; comparison with UL method verifies the applicability of the proposed ALE method for seismic response analysis of subway stations; ALE method ensures mesh quality and solution accuracy in deep soil conditions, with ground uplift and pore pressure development showing synchronous behavior with earthquake intensity.
COMPUTERS AND GEOTECHNICS
(2021)
Article
Engineering, Mechanical
Simon Pfeil, Hauke Gravenkamp, Fabian Duvigneau, Elmar Woschke
Summary: A semi-analytical solution of the Reynolds equation is developed based on the scaled boundary finite element method (SBFEM), combining it with a nonlinear cavitation model. The resulting bearing forces are in good agreement with a standard numerical reference solution.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Engineering, Geological
Shun Liu, Xiaowei Tang, Jing Li
Summary: In this study, a decoupled ALE Finite Element Method is developed based on the soil-water two-phase mixing theory to solve the mesh distortion problems in liquefaction large deformation analysis. The experimental results demonstrate that the method can maintain the deformed mesh in a healthy state and ensure the accuracy of the numerical solutions in large deformation analysis.
SOILS AND FOUNDATIONS
(2022)
Article
Computer Science, Interdisciplinary Applications
Mack Kenamond, Dmitri Kuzmin, Mikhail Shashkov
Summary: This paper presents a new intersection-distribution-based remapping method for hydrodynamics simulation between different polygonal meshes. By conservatively remapping mass and momentum using intersections between source and target meshes, the method aims to improve accuracy and flexibility in the simulation process.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Computer Science, Interdisciplinary Applications
A. T. Till, R. A. Yessayan, K. G. Budge, R. T. Wollaeger
Summary: We propose a set of novel closures for high-energy-density physics simulations with non-conformal meshes of materials, which affect thermal radiation transport (TRT). The closures work for any number of materials, both grey and multigroup energy discretizations, and any angular discretization (Sn, IMC, or diffusion). Our closures allow each species (ion and electron) of each material to have its own temperature, density, and internal energy, but use a single radiation distribution that interacts with all materials within the cell. The closures maintain energy conservation, have no additional computational cost in the TRT solve, are compatible with single-material TRT solvers, and do not assume temperature equilibrium.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Mathematics, Applied
Rihui Lan, Pengtao Sun
Summary: This paper develops a monolithic arbitrary Lagrangian-Eulerian (ALE)-finite element method for a type of moving interface problem with jump coefficients, based on a novel ALE mapping. The stability and error estimate analyses are conducted in the ALE frame, and numerical experiments are carried out to validate theoretical results in various cases. The developed novel ALE-FEM can potentially be extended to solve moving interface problems involving the pore fluid equation or Biot's model in the future.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2021)
Article
Engineering, Chemical
Jinghua Ye, Chong Xu, Chun Zhang, Huacheng Zhu, Kama Huang, Qiang Li, Jun Wang, Lin Zhou, Yuanyuan Wu
Summary: This paper presents a method for improving microwave heating efficiency by tracking object movement using the ALE method, and its validity is verified through experiments. The results indicate that this method is more accurate and efficient than the traditional ALE-remeshing method when dealing with complex shapes of moving objects.
JOURNAL OF FOOD ENGINEERING
(2021)
Article
Computer Science, Interdisciplinary Applications
C. D. Sijoy
Summary: This article develops a compatible, bounds preserving, and energy conserving ALE scheme suitable for multi-group radiation hydrodynamics simulation on unstructured meshes. The details of the scheme and the remapping of relevant physical quantities are described, and validation test problems are provided to demonstrate its accuracy and performance.
COMPUTER PHYSICS COMMUNICATIONS
(2023)
Article
Engineering, Civil
Karim Alkhatib, Youssef M. A. Hashash, Katerina Ziotopoulou, Brian Morales
Summary: The seismic design of water retaining structures relies on understanding the response of the retained water to shaking. This study investigated the hydrodynamic behavior of water by conducting centrifuge tests and using numerical models. The results showed that numerical models accurately captured the water response, while simplified methods had limitations in predicting certain responses.
EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS
(2023)
