Preconditioning of gas dynamics equations in compressible gas flow computations at low mach numbers

Волков, К. Н.; Karpenko, A. G.

doi:10.1134/s0965542515060135

Cited by 3 publications

(4 citation statements)

References 33 publications

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“…Convergence to a steady state is accelerated by the use of multigrid techniques [20] and by the application of block-Jacobi preconditioning for high-speed §ows, with a separate low Mach number preconditioning method for use with lowspeed §ows [21,22]. The sequence of meshes is created using an edge-collapsing algorithm.…”

Section: Methodsmentioning

confidence: 99%

Development and acceleration of unstructured mesh-based cfd solver

Emel’yanov

Karpenko

Волков

2017

Progress in Flight Physics

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The study was undertaken as part of a larger e¨ort to establish a common computational §uid dynamics (CFD) code for simulation of internal and external §ows and involves some basic validation studies. The governing equations are solved with ¦nite volume code on unstructured meshes. The computational procedure involves reconstruction of the solution in each control volume and extrapolation of the unknowns to ¦nd the §ow variables on the faces of control volume, solution of Riemann problem for each face of the control volume, and evolution of the time step. The nonlinear CFD solver works in an explicit time-marching fashion, based on a three-step RungeKutta stepping procedure. Convergence to a steady state is accelerated by the use of geometric technique and by the application of Jacobi preconditioning for high-speed §ows, with a separate low Mach number preconditioning method for use with low-speed §ows. The CFD code is implemented on graphics processing units (GPUs). Speedup of solution on GPUs with respect to solution on central processing units (CPU) is compared with the use of di¨erent meshes and di¨erent methods of distribution of input data into blocks. The results obtained provide promising perspective for designing a GPU-based software framework for applications in CFD.

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Section: Methodsmentioning

confidence: 99%

Development and acceleration of unstructured mesh-based cfd solver

Emel’yanov

Karpenko

Волков

2017

Progress in Flight Physics

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“…in the square Ω = [ −1, 1] 2 . The Reynolds and Prandtl numbers are both equal to 1, the gravity term is not considered, and appropriated source terms are added in the right-hand sides of Equations (13), (14), and (15). Nonhomogeneous Neumann boundary conditions on the temperature are prescribed on the whole boundary of Ω (ie, Ω = Ω N ), so that F N = ∇T ex · n on Ω; and in = ex on Ω in = Ω.…”

Section: Analytical Solutionmentioning

confidence: 99%

“…We recall that there exists two families of methods to compute flows at low‐Mach number regime. On the one hand, there are the so‐called density‐based solvers, corresponding to methods used for the simulation of supersonic and transonic flows, which have been adapted to make them efficient and robust in the case of a low‐Mach flow (see, eg, related works and references therein), using for example some preconditioning techniques . On the other hand, there are the so‐called pressure‐based solvers, coming from the incompressible case.…”

Section: Introductionmentioning

confidence: 99%

“…On the one hand, there are the so-called density-based solvers, corresponding to methods used for the simulation of supersonic and transonic flows, which have been adapted to make them efficient and robust in the case of a low-Mach flow (see, eg, related works 5-9 and references therein), using for example some preconditioning techniques. [10][11][12][13][14] On the other hand, there are the so-called pressure-based solvers, coming from the incompressible case. The pressure variations become independent from the state equation and are coupled to the divergence condition on the velocity.…”

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confidence: 99%

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A combined finite volumes ‐ finite elements method for a low‐Mach model

Calgaro

Colin

Creusé

2019

Numerical Methods in Fluids

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Summary In this paper, we develop a finite volumes ‐ finite elements method based on a time splitting to simulate some low‐Mach flows. The mass conservation equation is solved by a vertex‐based finite volume scheme using a τ‐limiter. The momentum equation associated with the compressibility constraint is solved by a finite element projection scheme. The originality of the approach is twofold. First, the state equation linking the temperature, the density, and the thermodynamic pressure is imposed implicitly. Second, the proposed combined scheme preserves the constant states, in the same way as a similar one previously developed for the variable density Navier‐Stokes system. Some numerical tests are performed to exhibit the efficiency of the scheme. On the one hand, academic tests illustrate the ability of the scheme in term of convergence rates in time and space. On the other hand, our results are compared to some of the literature by simulating a transient injection flow as well as a natural convection flow in a cavity.

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Response Time Dynamics of a Membrane-Based Microfluidic Gas Sensor

Kaaliveetil,

Khaja,

Haridas Menon

et al. 2024

Chemosensors

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Practical gas–liquid interfacing is paramount in microfluidic technology, particularly in developing microfluidic gas sensors. We have created an easily replicable membrane-based closed microfluidic platform (MB-MP) to achieve in situ gas–liquid contact for low-resource settings. We have fabricated the MB-MP using readily available materials like double-sided tape or parafilm without conventional soft lithographic techniques. The response characteristics of the MB-MP are studied using CO2 as the model gas and bromothymol blue dye as the sensing material. The dye’s color change, indicative of pH shifts due to CO2 absorption, is captured with a digital microscope and analyzed via the ImageJ software package v1.54g. The response shows saturation and regeneration parts when cycled between CO2 and N2, respectively. Experiments are conducted to investigate the response characteristics and saturation rate under different conditions, including changes in volumetric flow rate, gas stream velocity, and dye solution volume. We observe experimentally that an increase in volumetric flow rate decreases the delay and increases the saturation rate of the response, surpassing the impact of the gas stream’s increased velocity. Furthermore, increasing the dye volume results in an exponential decrease in the saturation rate and an increase in the delay. These insights are essential for optimizing the platform’s response for point-of-use applications.

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Preconditioning of gas dynamics equations in compressible gas flow computations at low mach numbers

Cited by 3 publications

References 33 publications

Development and acceleration of unstructured mesh-based cfd solver

Development and acceleration of unstructured mesh-based cfd solver

A combined finite volumes ‐ finite elements method for a low‐Mach model

Response Time Dynamics of a Membrane-Based Microfluidic Gas Sensor

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