A generalized Characteristic-Based Split projection method for Navier-Stokes with real fluids

Cook, Charles R.; Balachandar, S.; Chung, J. N.; Vu‐Quoc, L.

doi:10.1016/j.ijheatmasstransfer.2018.03.054

Cited by 6 publications

(6 citation statements)

References 26 publications

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“…However, it lacks a sound theoretical support and can cause large spikes in the solution in the presence of source terms. Contrary to extrapolation, a method known as the characteristics-based method (Cook et al 2018) offers more accurate and reliable solutions and it also has a more reliable theoretical foundation. This method involves breaking a two-point boundary value problem into two initial value problems and solving those separately at their respective boundaries.…”

Section: Numerical Implementationmentioning

confidence: 99%

Modeling and Numerical Implementation of Managed-Pressure-Drilling Systems for the Assessment of Pressure-Control Systems

Naderilordejani

Abbasi

Velmurugan

et al. 2020

SPE Drilling &Amp; Completion

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Summary Automated managed-pressure drilling (MPD) is a method to enhance downhole pressure-control performance and safety during drilling operations. It is becoming more common to use model-based simulation for the evaluation of pressure-control systems designed for MPD automation before using those in the field. This demands a representative hydraulics-simulation model that captures the relevant aspects of a drilling system. This paper presents such a model and an approach to numerically implement that model for simulation studies. The complexity of this simulation model should be limited, first, to support effective numerical implementation and, second and most importantly, to allow for the analysis of the behavior and performance of the automated pressure-control systems during the controller-design phase. To this end, aspects of a drilling system that can considerably affect the performance of the automated MPD system are captured in the model. This hydraulics model incorporates both the distributed and multiphase-flow nature of a drilling system. Moreover, it captures nonlinear boundary conditions at the inlet of the drillstring, at the drill bit, and choke manifold, and also the variations in the cross-sectional area of the flow path. Model validations against field data from real-life MPD operations and simulations of industry-relevant scenarios indicate that these aspects are effectively captured in the model and preserved during the numerical implementation.

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Section: Numerical Implementationmentioning

confidence: 99%

Modeling and Numerical Implementation of Managed-Pressure-Drilling Systems for the Assessment of Pressure-Control Systems

Naderilordejani

Abbasi

Velmurugan

et al. 2020

SPE Drilling &Amp; Completion

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“…Aerodynamic heat prediction plays an important role in the design and optimization of hypersonic vehicles [1,2]. In general, there are three technical approaches to aerodynamic heat prediction: the engineering estimation [3], the wind tunnel experiment [4], and computational fluid dynamics (CFD) [5,6]. With the development of computer technology, CFD has made great progress; its results offer higher accuracy than engineering estimation, and, unlike the wind tunnel experiment, its simulation ability can cover the entire flight trajectory.…”

Section: Introductionmentioning

confidence: 99%

An Effective Simulation Scheme for Predicting the Aerodynamic Heat of a Scramjet-Propelled Vehicle

Zhang

2021

Applied Sciences

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Currently, aerothermal research into scramjet-propelled vehicles characterized by a wedge-shaped section is relatively sparse. Based on the Mach number, grid strategy, and numerical method, an effective simulation scheme for predicting the aerodynamic heat of a scramjet-propelled vehicle during flight is proposed in this paper. At different Mach numbers, the appropriate grid strategy and numerical method were determined by validation tests. Two-dimensional external flow field models based on wedge sections were established and, unlike in blunt bodies, the tests showed that at the high supersonic stage, the ideal cell Reynolds number should be no larger than 16. At the hypersonic stage, the ideal cell Reynolds number and aspect ratio of wall cells near the shock should be no larger than 40, and the AUSM+ flux type performs better than Roe’s FDS flux type at the above stages. The aerothermal prediction indicates that during a flight time of about 34 s, the temperature change reaches about 1913.35 °C, and the maximum average temperature change rate reaches 115 °C/s.

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“…Therefore, it is necessary to implement numerical methods to get required solutions. The CBSG method is most widely used numerical method, it has capacity to deal most complex engineering and scientific problems [38]. This method can solve the flow problems of both compressible and incompressible nature efficiently, because the introduction of the procedure of splitting the momentum equations makes the method more stable.…”

Section: Implementation Of Characteristic Based Split Galerkin Methodsmentioning

confidence: 99%

“…The velocity components and pressure variables are approximated by substituting a linear spatial approximation over a typical element. Now the integral of each term of equation (38) are solved by applying simple formulas of integral calculus. The simplified form of equation (38) becomes in matrix form as of equation (39).…”

Section: Spatial Discretizationmentioning

confidence: 99%

Numerical solution and mathematical modelling of mass transport from medicated stent

Ali¹,

Hussain²,

Inc³

et al. 2022

Phys. Scr.

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Restenosis in arteries is a major problem which can be controlled by using medicated stents. The controlled drug transport from medicated stents has a great effect in decreasing restenosis in arteries. Drug is coated on stents to keep away from the re-narrowing of the artery wall. This device has an advantage of a flexible time delivery of a curative drug to the adjoining blood vessel tissues. The aim of this study is to formulate a mathematical model which describe the process of drug transport from arterial wall and medicated stent. For this purpose, a 3D model is investigated to measure the impact of mass transport from drug eluting stent. The blood flow is modelled by dimensionless Navier stokes equations and the concentration of drug is driven by dimensionless` convection diffusion equation. The effect of diffusive and advective forces are discovered and these forces can be used to control the drug mass transport. Moreover, the effect of dimensionless parameters such as Peclet number Pe , porosity k and Re on mass transport from medicated stent and tissue layers is investigated. Characteristic Based Split Galerkin (CBSG) technique is applied to solve the dimensionless equations. In the application of stent-based drug delivery, the governing equations in this exploration give the premise of a plan for examining and computing mass transport in medicated stent and artery wall. The numerical results support to offer a good insight into the possible impacts of various parameters.

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A generalized Characteristic-Based Split projection method for Navier-Stokes with real fluids

Cited by 6 publications

References 26 publications

Modeling and Numerical Implementation of Managed-Pressure-Drilling Systems for the Assessment of Pressure-Control Systems

Modeling and Numerical Implementation of Managed-Pressure-Drilling Systems for the Assessment of Pressure-Control Systems

An Effective Simulation Scheme for Predicting the Aerodynamic Heat of a Scramjet-Propelled Vehicle

Numerical solution and mathematical modelling of mass transport from medicated stent

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