Testing and Qualification of a New Multiphase Flow Simulator

Danielson, Thomas J.; Bansal, K. M.; Djoric, Biljana; Duret, E.; Johansen, Stein Tore; Hellan, Øyvind

doi:10.4043/21417-ms

Cited by 5 publications

(9 citation statements)

References 3 publications

(3 reference statements)

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“…However, even with the present significant advances in computing power, there is still a need to sacrifice accuracy for efficiency in many practical applications. For instance, simulators for petroleum processing facilities often involve the solution of highly complicated multiphase flow models through several kilometer long pipelines [2]. These simulators are typically based on implicit methods, but we may note that explicit methods in the form (3) are trivially parallelizable whereas implicit methods are not [25].…”

Section: Large Timementioning

confidence: 99%

Large Time Step TVD Schemes for Hyperbolic Conservation Laws

Lindqvist¹,

Aursand²,

Flåtten³

et al. 2016

SIAM J. Numer. Anal.

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Abstract. Large time step explicit schemes in the form originally proposed by LeVeque [Comm. Pure Appl. Math., 37 (1984), pp. 463-477] have seen a significant revival in recent years. In this paper we consider a general framework of local 2k + 1 point schemes containing LeVeque's scheme (denoted as LTS-Godunov) as a member. A modified equation analysis allows us to interpret each numerical cell interface coefficient of the framework as a partial numerical viscosity coefficient.We identify the least and most diffusive TVD schemes in this framework. The most diffusive scheme is the 2k + 1-point Lax-Friedrichs scheme (LTS-LxF). The least diffusive scheme is the Large Time Step scheme of LeVeque based on Roe upwinding (LTS-Roe). Herein, we prove a generalization of Harten's lemma: all partial numerical viscosity coefficients of any local unconditionally TVD scheme are bounded by the values of the corresponding coefficients of the LTS-Roe and LTS-LxF schemes.We discuss the nature of entropy violations associated with the LTS-Roe scheme, in particular we extend the notion of transonic rarefactions to the LTS framework. We provide explicit inequalities relating the numerical viscosities of LTS-Roe and LTS-Godunov across such generalized transonic rarefactions, and discuss numerical entropy fixes.Finally, we propose a one-parameter family of Large TimeStep TVD schemes spanning the entire range of the admissible total numerical viscosity. Extensions to nonlinear systems are obtained through the Roe linearization. The 1D Burgers equation and the Euler system are used as numerical illustrations.

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Section: Large Timementioning

confidence: 99%

Large Time Step TVD Schemes for Hyperbolic Conservation Laws

Lindqvist¹,

Aursand²,

Flåtten³

et al. 2016

SIAM J. Numer. Anal.

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“…High fidelity models used for flow assurance and production design include the OLGA (Bendiksen et al, 1991) and LedaFlow (Danielson et al, 2011) commercial simulators. These are both 3-phase flow 1D models, imposing instantaneous pressure equilibrium in all phases.…”

Section: Examples From Literaturementioning

confidence: 99%

“…Both the OLGA (Bendiksen et al, 1991) and LedaFlow (Danielson et al, 2011) numerical schemes are pressure-based and implicit. The FlowManager TM scheme due to Evje and Flåtten (2006); Holmås and Løvli (2011) is essentially a density-based implicit method, incorporating some ideas from the classical pressure-based schemes.…”

Section: Numerical Schemesmentioning

confidence: 99%

Review of two-phase flow models for control and estimation

Aarsnes

Flåtten

Aamo³

2016

Annual Reviews in Control

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Most model-based control and estimation techniques put limitations on the structure and complexity of the models to which they are applied. This has motivated the development of simplified models of gas-liquid two-phase flow in drilling for control and estimation applications. This paper reviews the literature for such models. The models are categorized in terms of complexity and the physical interpretation of the simplifications employed. A simulation study is used to evaluate their ability to qualitatively represent dynamics of 3 different gas-liquid scenarios encountered in drilling, based on which conclusions are drawn.

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“…A similar concept is applied in LedaFlow, except for LedaFlow using two energy equations and mass balances for all of the possible dispersed fields (in total, nine mass balances). 8 The flow regimes can change along the pipe and in time during dynamic flow simulations. A two-fluid model is typically suitable for separated flows, where the slip can vary very much.…”

Section: ■ Model Formulationsmentioning

confidence: 99%

Dynamic Models in Multiphase Flow

Nydal

2012

Energy Fuels

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Transport of oil and gas mixtures in pipelines involves flow dynamics on a wide range of time and length scales. Liquid slugs and waves occur at scales extending from diameters ("hydrodynamic slug flow") and up to riser lengths ("severe slugging"). The approach in one-dimensional dynamic multiphase flow models for analysis of flow dynamics depends upon the scale to be resolved. Types of models are discussed, and a hybrid two-fluid model and a slug tracking model are in particular described. A two-fluid model is applied on a stationary grid in the gas−liquid stratified flow region until a slug is formed (or initiated), when a slug tracking method with a moving grid takes over. The performance of the model is demonstrated in relation to three types of cases with different time and length scales: Two-and three-phase severe slugging, hydrodynamic slugging after a bend, and a pigging case to simulate the rapid release of a hydrate plug. The computations are compared to experimental laboratory data.

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Testing and Qualification of a New Multiphase Flow Simulator

Cited by 5 publications

References 3 publications

Large Time Step TVD Schemes for Hyperbolic Conservation Laws

Large Time Step TVD Schemes for Hyperbolic Conservation Laws

Review of two-phase flow models for control and estimation

Dynamic Models in Multiphase Flow

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