Numeric treatment of contact discontinuity with multi-gases

Shieh, Tzong-Hann; Li, Meng-Rong

doi:10.1016/j.cam.2009.01.014

Cited by 13 publications

(8 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The approximation error in the process of a moving contact discontinuity interface between two gases. By the condition of contact discontinuity interface as shown later in Table 2 [20], testing the new additional energy equation, we can confirm the reliability of the computing program for capturing the shock wave problem. We observe the capacity for capturing the contact discontinuity interface by the density q and additional energy equation if a nonphysical error problem occurs because of the nonconservative source term Q by the relation of the specific heat ratio c ¼ c(T).…”

Section: Testing and Initial Condition Settingmentioning

confidence: 87%

“…The single-gas shock tube problem. For various difference shapes and different pressure functions, we discuss the properties and computing efficiency with the condition of a single-gas shock tube problem as will be shown in Table 3 [20].…”

Section: Testing and Initial Condition Settingmentioning

confidence: 99%

“…The errors of computing in high-gradient problems result largely from what the gradient problems do to numerical simulation by the difference method. However, for the pressure gradient problem, we try to deal with this problem using some models separately [20].…”

Section: The Multigas Euler Equations Model With An Ideal Gas Mixturementioning

confidence: 99%

“…The aforesaid vector parameters are described [19,20] by The first vector expresses the separate partial differentiation term of density in the equilibrium equation of the total mixture. Moreover, the third vector represents the extra energy source term which Ton spread based on the gas mixture.…”

Section: The Multigas Euler Equations Model With An Ideal Gas Mixturementioning

confidence: 99%

See 3 more Smart Citations

A Comparative Study of Flux Limiters Using New Numerical Methods in Unsteady Supersonic Flows

Shieh

et al. 2014

Numerical Heat Transfer, Part B: Fundamentals

Self Cite

View full text Add to dashboard Cite

In this study, partition of the energy equation in the Euler equations is expanded in the form of ideal mixture gas through the finite-volume method in order to discuss questions faced in the Riemann approximation solver. Through the AUSMDV numerical flux scheme with different flux limiters and types of gradient, we want to improve the calculation accuracy and reduce the nonphysical oscillation problem. Based on the AUSMDV scheme, We modify the energy equation of the ideal mixture gas which was proposed by Ton [8]. For the pressure and velocity gradient of source term Q, we establish a new method of gradient control to test whether it can make progress in the nonphysical numerical oscillation problem.

show abstract

Section: Testing and Initial Condition Settingmentioning

confidence: 87%

Section: Testing and Initial Condition Settingmentioning

confidence: 99%

Section: The Multigas Euler Equations Model With An Ideal Gas Mixturementioning

confidence: 99%

Section: The Multigas Euler Equations Model With An Ideal Gas Mixturementioning

confidence: 99%

See 2 more Smart Citations

A Comparative Study of Flux Limiters Using New Numerical Methods in Unsteady Supersonic Flows

Shieh

et al. 2014

Numerical Heat Transfer, Part B: Fundamentals

Self Cite

View full text Add to dashboard Cite

show abstract

“…Furthermore, in reality the equation is frequently nonlinear since the phenomenon exists in the fields such as fluid mechanics, automatic control, etc. As a result, the numerical computation of nonlinear differential equation and dynamic system trace back to fluid mechanics [12,13], and afterwards it was applied to biology, ecology, Logistic equation in population dynamics, electronic circuit, and artificial intelligence and so on.…”

Section: Methodsmentioning

confidence: 99%

Taiex Index Option Model by Using Nonlinear Differential Equation

Lin

Lee

2014

MCA

Self Cite

View full text Add to dashboard Cite

Abstract-In this study we treat TXO price as a dynamic system which changes over time and characterize it by differential equations. Our goal is to construct a model more suitable for TXO. We use -Parabola Approximation‖ proposed by Li et al. (2011) to solve the differential equations and try to find the model which fits our data the most. Empirical study shows the model used all produce accurate estimates of TXO prices.

show abstract

Analysis on numerical results for stage separation with different exhaust holes

Shieh

Liou

et al. 2009

International Communications in Heat and Mass Transfer

View full text Add to dashboard Cite

Numeric treatment of contact discontinuity with multi-gases

Cited by 13 publications

References 8 publications

A Comparative Study of Flux Limiters Using New Numerical Methods in Unsteady Supersonic Flows

A Comparative Study of Flux Limiters Using New Numerical Methods in Unsteady Supersonic Flows

Taiex Index Option Model by Using Nonlinear Differential Equation

Analysis on numerical results for stage separation with different exhaust holes

Contact Info

Product

Resources

About