The flux limiter Ψ(r) of the second-order upwind scheme is __________(a) r^2(b) \(\frac{1}{2}r\)(c) 2r(d) rThe question was asked in an interview.My doubt stems from Convection-Diffusion Problems topic in chapter Convection-Diffusion Problems of Computational Fluid Dynamics

The flux limiter Ψ(r) of the second-order upwind scheme is __________

1.	The flux limiter Ψ(r) of the second-order upwind scheme is __________(a) r^2(b) \(\frac{1}{2}r\)(c) 2r(d) rThe question was asked in an interview.My doubt stems from Convection-Diffusion Problems topic in chapter Convection-Diffusion Problems of Computational Fluid Dynamics
Answer» The correct option is (d) r Explanation: To find the flux limiter, \(\phi_f=\phi_C+\FRAC{1}{2}\psi(r)(\phi_D-\phi_C)\) For the second order UPWIND scheme, \(\phi_f=\frac{3}{2}\phi_C-1\frac{1}{2}\phi_U\) Equating both, \(\frac{1}{2}\psi(r)(\phi_D-\phi_C)=\frac{3}{2}\phi_C-\phi_C-\frac{1}{2}\phi_U\) \(\frac{1}{2}\psi(r)(\phi_D-\phi_C)=\frac{1}{2}(\phi_C-\phi_U)\) \(\psi(r)=\frac{(\phi_C-\phi_U)}{(\phi_D-\phi_C)}=r\).

Discussion

No Comment Found

Related InterviewSolutions

Which of these methods can be used to evaluate the errors in convection-diffusion schemes?(a) Using the exact solution of the source-free problem(b) Using the exact solution of the source and diffusion-free problem(c) Using the exact solution of the diffusion-free problem(d) Using the first-order schemesThe question was posed to me in an online interview.My question is from Convection-Diffusion Problems in division Convection-Diffusion Problems of Computational Fluid Dynamics
Which of these profiles is used by the FROMM scheme?(a) Φ(x)=k0+k1 (x-xc)+k2 (x-xc)^2(b) Φ(x)=k1 (x-xc )+k2 (x-xc)^2(c) Φ(x)=k0+k1 (x-xc)(d) Φ(x)=k1 (x-xc)I have been asked this question by my college director while I was bunking the class.The doubt is from Convection-Diffusion Problems in portion Convection-Diffusion Problems of Computational Fluid Dynamics
Numerical dispersion is a result of __________(a) higher-order interpolation profile(b) unphysical behaviour of assumed interpolation profile(c) first-order interpolation profile(d) quadratic interpolation profileI had been asked this question in an internship interview.I'm obligated to ask this question of Convection-Diffusion Problems in division Convection-Diffusion Problems of Computational Fluid Dynamics
For the FROMM scheme, what is the flux limiter ψ(r) equal to?(a) 1-\(\frac{r}{2}\)(b) 1+\(\frac{r}{2}\)(c) \(\frac{1-r}{2}\)(d) \(\frac{1+r}{2}\)I have been asked this question during an interview.I need to ask this question from Convection-Diffusion Problems in portion Convection-Diffusion Problems of Computational Fluid Dynamics
What is the normalized relationship between Φf and Φc for the FROMM scheme?(a) \(\tilde{\phi_f}=\tilde{\phi_c}+\frac{1}{4}\)(b) \(\tilde{\phi_f}=\tilde{\phi_c}-\frac{1}{4}\)(c) \(\tilde{\phi_f}=\frac{1}{4}-\tilde{\phi_c}\)(d) \(\tilde{\phi_f}=\frac{1}{4} \tilde{\phi_c}\)I have been asked this question in an internship interview.The question is from Convection-Diffusion Problems topic in division Convection-Diffusion Problems of Computational Fluid Dynamics
Which is correct about the QUICK scheme?(a) A two-point upwind biased interpolation(b) A three-point upwind biased interpolation(c) A three-point downwind biased interpolation(d) A two-point downwind biased interpolationThe question was asked at a job interview.I want to ask this question from Convection-Diffusion Problems topic in chapter Convection-Diffusion Problems of Computational Fluid Dynamics
Which of these is correct about the QUICK scheme?(a) Stable and bounded(b) Stable and unbounded(c) Unstable and bounded(d) Unstable and unboundedThis question was addressed to me by my college professor while I was bunking the class.Origin of the question is Convection-Diffusion Problems topic in division Convection-Diffusion Problems of Computational Fluid Dynamics
FROMM scheme ____________(a) gives weighted importance to the upwind and downwind schemes(b) gives equal importance to upwind and downwind scheme(c) is downwind biased(d) is upwind biasedI had been asked this question during an online exam.My question comes from Convection-Diffusion Problems in chapter Convection-Diffusion Problems of Computational Fluid Dynamics
What is the first term of the truncation error of the QUICK scheme?(a) \(\frac{1}{16} (\Delta x)^2 \phi_C”’\)(b) \(\frac{1}{16} (\Delta x)^3 \phi_C”’\)(c) \(\frac{1}{16} (\Delta x)^3 \phi_C^{iv}\)(d) \(\frac{1}{16} (\Delta x)^2 \phi_C^{iv}\)This question was addressed to me in a national level competition.I'd like to ask this question from Convection-Diffusion Problems topic in portion Convection-Diffusion Problems of Computational Fluid Dynamics
What does QUICK stand for?(a) Quadratic Upstream Interpolation for Convective Kinetics(b) Quadratic Upstream Interval for Convective Kinetics(c) Quadratic Upwind Interval for Convective Kinetics(d) Quadratic Upwind Interpolation for Convective KineticsI got this question in a national level competition.This interesting question is from Convection-Diffusion Problems topic in chapter Convection-Diffusion Problems of Computational Fluid Dynamics

The flux limiter Ψ(r) of the second-order upwind scheme is __________(a) r^2(b) \(\frac{1}{2}r\)(c) 2r(d) rThe question was asked in an interview.My doubt stems from Convection-Diffusion Problems topic in chapter Convection-Diffusion Problems of Computational Fluid Dynamics

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment