Evaluation of a nonlinear variational multiscale method for fluid transport problems

Modirkhazeni, S. Mahnaz; Bhigamudre, Vyasaraj G.; Trelles, Juan Pablo

doi:10.1016/j.compfluid.2020.104531

Cited by 9 publications

(4 citation statements)

References 79 publications

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“…The system of equations composing the APGD plasma flow model in table 3 is discretized using a recently-developed nonlinear VMS (VMS n ) FEM [51]. The 11-components vector of unknowns Y = [p ′ u T h T e ϕ z s ]…”

Section: Variational Multiscale (Vms) Finite Element Methods (Fem)mentioning

confidence: 99%

“…This approach was found to increase the accuracy and the convergence of transport problems, including plasma flow simulations. More information about the implementation of the nonlinear VMS method and the definition of the intrinsic time scales matrix τ are presented in [51,52].…”

Section: Variational Multiscale (Vms) Finite Element Methods (Fem)mentioning

confidence: 99%

“…scalar transport, incompressible and compressible flows, radiative transport), and particularly, through the simulation of arc discharges, including the capture of pattern formation [35] and flow instabilities [36]. More details about TPORT is found in [37,51]. The simulations of the APGD model, presented in section 5, typically required three iterations per time step using a Krylov space of size 250.…”

Section: Model Implementationmentioning

confidence: 99%

See 2 more Smart Citations

Three-dimensional modelling of a self-sustained atmospheric pressure glow discharge

Boutrouche¹,

Trelles²

2022

J. Phys. D: Appl. Phys.

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The Atmospheric Pressure Glow Discharge (APGD) is a relatively simple and versatile plasma source used in diverse applications. Stable APGD operation at high currents, generally a challenge due to instabilities leading to glow-to-arc transition, has been demonstrated using actively-controlled cathodic cooling. This article presents the computational modelling and simulation of a self-sustained direct-current APGD in helium within a 10 mm pin-to-plate inter-electrode gap for currents ranging from 4 to 40 mA. The APGD model is comprised of the conservation equations for total mass, chemical species, momentum, thermal energy of heavy-species and of free electrons, and electric charge. The model equations are discretized using a nonlinear Variational Multi-Scale Finite Element Method that has demonstrated superior accuracy in other plasma flow problems, on a temporal and three-dimensional computational domain suitable to unveil the potential occurrence of instabilities. Modelling results show good agreement with experimental measurements of voltage drop and the same trend but higher values of temperature. The higher temperatures obtained by the simulations appear to be due to the absence of a near-cathode heat dissipation model. The results also reveal that the distribution of electron density and of the ratio of atomic helium ions to total ions transitions from monotonically increasing away from the cathode to presenting a minimum near the centre of the gap with increasing current.

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Section: Variational Multiscale (Vms) Finite Element Methods (Fem)mentioning

confidence: 99%

Section: Variational Multiscale (Vms) Finite Element Methods (Fem)mentioning

confidence: 99%

Section: Model Implementationmentioning

confidence: 99%

See 1 more Smart Citation

Three-dimensional modelling of a self-sustained atmospheric pressure glow discharge

Boutrouche¹,

Trelles²

2022

J. Phys. D: Appl. Phys.

Self Cite

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“…In this way, the time taken from design to analysis is reduced, resulting in dramatic efficiency gains. Currently, IGA has been applied successfully in numerous fields, such as solid mechanics [46][47][48] , heat transfer analysis [49][50][51] fluid mechanics [52][53][54] , fluid-structure interaction (FSI) simulations [55][56][57] etc. Up until now, research efforts have focused on establishing a practical framework for achieving the concept of 'design through analysis', but there are still no comprehensive studies of potential applications of computer-aided tolerancing (CAT).…”

Section: Introductionmentioning

confidence: 99%

Compliant assembly variation modeling for thin-walled structures considering clamping constraints and geometric deviations based on isogeometric analysis

Liu,

Li,

Liu

et al. 2024

Int J Adv Manuf Technol

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Geometric deviations and clamping constraints are the two major variation factors in thin-walled structure assembly processes. Geometric deviations are caused by inevitable uncertainties in manufacturing processes and have a significant impact on dimensional control for compliant assembly processes. Due to the flexibility of thin-walled structures, the clamping constraints during assembly greatly affect the compliant deformation of assembled structures. In this paper, a new method based on isogeometric analysis (IGA) considering geometric deviations and clamping constraints is proposed. The geometric deviations of thin-walled structures can be obtained by offsetting along the control points in an ideal part based on Nonuniform Rational B-Splines (NURBS), and the clamping constraints, such as fixture positioning deviations and connection matching deviations, are converted into displacement boundary conditions by the Lagrange multiplier method. Furthermore, the elastic force induced by initial geometric deviations is calculated using Kirchhoff-Love shell elements. Considering the coordination constraint relationship between shape closure and force closure in the compliant assembly process, a variation propagation model is developed using NURBS-based IGA. It integrates geometric deviations and compliant deformations into a unified mathematical representation framework by embedding exact geometry into assembly analysis. In addition, a numerical example is presented to demonstrate the accuracy and effectiveness of the developed method.

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Numerical study of the use of residual- and non-residual-based stabilized VMS formulations for incompressible power-law fluids

González

Cabrales²,

Castillo³

2022

Computer Methods in Applied Mechanics and Engineering

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Evaluation of a nonlinear variational multiscale method for fluid transport problems

Cited by 9 publications

References 79 publications

Three-dimensional modelling of a self-sustained atmospheric pressure glow discharge

Three-dimensional modelling of a self-sustained atmospheric pressure glow discharge

Compliant assembly variation modeling for thin-walled structures considering clamping constraints and geometric deviations based on isogeometric analysis

Numerical study of the use of residual- and non-residual-based stabilized VMS formulations for incompressible power-law fluids

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