Simulations of single- and two-phase shock tubes across abrupt changes of area and branched junctions

Daude, Frédéric

doi:10.1016/j.nucengdes.2020.110734

Cited by 8 publications

(5 citation statements)

References 19 publications

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“…Note, the similar accuracy was attained in work [19] at 1000-2000 space elements (see Fig. 2 a in [20]). All this testify about the very good accuracy of the method.…”

Section: Analysis Of the Sod's Tasksupporting

confidence: 70%

“…As in work [21] demonstrate that main meshing parameter which controls the accuracy is the time interval, while the length of element, provided it satisfies the requirement of stability (10b), has lesser influence on accuracy. Choose the moment of time which was considered in works [5,20], and calculate the distribution of pressure along the whole pipe. Show that length of element has the lesser importance on accuracy of results.…”

Section: Analysis Of the Sod's Taskmentioning

confidence: 99%

“…It is based on finite volume method using the arbitrary Lagrangian-Eulerian formulation for the resolution of the fluid problem and is able to take into account for the abrupt changes in area and junction of complex piping complex junctions [19]. The comprehensive assessment of accuracy and peculiarities of the method application [19] was performed in subsequent work [20], where among other the Sod task was analyzed.…”

Section: Introductionmentioning

confidence: 99%

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Semi-analytical implicit direct time integration method for 1-D gas dynamic problem

Orynyak,

Kostyushko,

Mazuryk

2023

Mech. Adv. Technol.

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Sharp wave treatment for 1-D gas dynamic problem is still a chellenge for modern numerical methods. They often require too many space and time steps, produce spurious oscillation of solution, exhibit a strong numerical dissipation or divergence of results. This paper is further extension of authors’ idea of employment the analytical solution for space coordinate, where time step is a parameter which used in the space solution. Its peculiarity consists in development of additional procedure of linearization of dependence between the pressure and density. It is performed in premise that actual pressure for each space element is close to the basic pressure, attained at previous moment of time. The efficiency of method is tested on the very popular task of Sod, where two different ideal gases in a tube are separated by diaphragm, which is suddenly broken. The problem considered in Lagrangian coordinates formulation. The results obtained show the very good efficiency of method, which requires the essentially lesser time and space steps, leads to no spurious oscillation and give consistent and predictable results with respect to meshing. The accuracy of method is mostly controlled by time step, which should be larger than clearly stated theoretical lower limit. Other advantage of method is that it can calculate the process to any desired moment of time, and space meshing can be variable in time and space and can be easily adapted during the process of calculation.

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“…Note, the similar accuracy was attained in work [19] at 1000-2000 space elements (see Fig. 2 a in [20]). All this testify about the very good accuracy of the method.…”

Section: Analysis Of the Sod's Tasksupporting

confidence: 70%

Section: Analysis Of the Sod's Taskmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Semi-analytical implicit direct time integration method for 1-D gas dynamic problem

Orynyak,

Kostyushko,

Mazuryk

2023

Mech. Adv. Technol.

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show abstract

“…The one-dimensional approach was developed for models with a non-equilibrium thermodynamic state developed by Bilicki et al [14]. Modern works of Daude et al [15,16] and Delchini et al [17] on two-phase flows also use one-dimensional systems of balance equations and are devoted to developing a method for simulating non-stationary flows in variable geometry pipes. In the work of Chen et al [18], the basic system of equations was transformed into a new form to obtain a coupling matrix equation.…”

Section: Designing and Modelling Heat Exchangers Performancementioning

confidence: 99%

Partially transient one-dimensional thermal-flow model of a heat exchanger, upwind numerical solution method and experimental verification

2023

Archives of Thermodynamics

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Shell and tube heat exchangers are commonly used in a wide range of practical engineering. The key issue in such a system is the heat exchange between the hot and cold working media. An increased cost of production of these devices has forced all manufacturing companies to reduce the total amount of used materials by better optimizing their construction. Numerous studies on the heat exchanger design codes have been carried out, basically focusing on the use of fully time-dependent partial differential equations for mass, momentum, and energy balance. They are very complex and time-consuming, especially when the designers want to have full information in a full 3D system. The paper presents the 1D mathematical model for analysis of the thermal performance of the counter-current heat exchanger comprised of mixed time-dependent and time-independent equations, solved by the upwind numerical solution method, which allows for a reduction in the CPU time for obtaining the proper solution. The comparison of numerical results obtained from an in-house program called Upwind Heat Exchanger Solver written in a Fortran code, with those derived using commercial software package ASPEN, and those obtained experimentally, shows very good agreement in terms of the temperature and pressure distribution predictions. The proposed method for fast designing calculations appears beneficial for other tube shapes and types of heat exchangers.

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“…The subscript f denotes fluid variables and is used whenever a distinction between fluid and structure is necessary. The specific internal energy ε f is given by ε [19] are here used as it was done previously in [7,8,20,21]. Thanks to the use of EOS, other thermodynamical variables can be obtained as a function of pressure and density such as temperature T f and speed of sound c f .…”

Section: Governing Equations For the Fluidmentioning

confidence: 99%

1D/3D Finite-Volume coupling in conjunction with beam/shell elements coupling for fast transients in pipelines with fluid–structure interaction

Daude

Douillet-Grellier

2021

Journal of Fluids and Structures

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Simulations of single- and two-phase shock tubes across abrupt changes of area and branched junctions

Cited by 8 publications

References 19 publications

Semi-analytical implicit direct time integration method for 1-D gas dynamic problem

Semi-analytical implicit direct time integration method for 1-D gas dynamic problem

Partially transient one-dimensional thermal-flow model of a heat exchanger, upwind numerical solution method and experimental verification

1D/3D Finite-Volume coupling in conjunction with beam/shell elements coupling for fast transients in pipelines with fluid–structure interaction

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