Related InterviewSolutions

• Which series expansion is used by the Lax-Wendroff Technique?(a) Taylor Series(b) Fourier series(c) McLaurin series(d) Laurent seriesThe question was asked in a job interview.The origin of the question is Finite Difference Methods topic in portion Finite Difference Methods of Computational Fluid Dynamics
• Which of these methods of solving a system of equations will be needed after using an explicit scheme?(a) Sequential(b) Simultaneous(c) Iterative(d) DirectI got this question in exam.My doubt stems from Explicit and Implicit Finite Difference Methods in division Finite Difference Methods of Computational Fluid Dynamics
• Using the Taylor series expansion, What is the first term of the truncation error of the finite difference equation \((\frac{\partial u}{\partial x})_{i,j}=\frac{u_{i+1,j}-u_{i,j}}{\Delta y}\)?(a) \(-(\frac{\partial^2 u}{\partial x^2})_{i,j}\frac{\Delta x}{2}\)(b) \((\frac{\partial^2 u}{\partial x^2})_{i,j}\frac{\Delta x}{3}\)(c) \(-(\frac{\partial^2 u}{\partial x^2})_{i,j}\frac{\Delta x}{3}\)(d) \((\frac{\partial^2 u}{\partial x^2})_{i,j}\frac{\Delta x}{2}\)This question was posed to me during a job interview.My doubt stems from Finite Difference Method topic in section Finite Difference Methods of Computational Fluid Dynamics
• I am using forward differences in the predictor step. Which method would you suggest me to use in the corrector step?(a) Rearward differences(b) Central differences(c) Forward differences(d) Second-order differencesThis question was addressed to me in my homework.My question is from Finite Difference Methods topic in chapter Finite Difference Methods of Computational Fluid Dynamics
• Which series expansion is used by the MacCormack’s technique?(a) Taylor Series(b) Fourier series(c) McLaurin series(d) Laurent seriesThe question was asked in an interview for job.My question is taken from Finite Difference Methods in portion Finite Difference Methods of Computational Fluid Dynamics
• Which of these properties limit the time-step size in the explicit schemes?(a) Convergence(b) Stability(c) Consistency(d) ErrorI got this question during an internship interview.Asked question is from Explicit and Implicit Finite Difference Methods topic in chapter Finite Difference Methods of Computational Fluid Dynamics
• What is the main disadvantage of explicit schemes in a time-dependent problem?(a) Marching solution(b) Simultaneous equations(c) Small time-step size(d) Small grid sizeI got this question by my college director while I was bunking the class.Question is from Explicit and Implicit Finite Difference Methods in section Finite Difference Methods of Computational Fluid Dynamics
• Find \(\frac{\partial u}{\partial r}\) at point 1 using forward difference method.(a) 1000(b) 100(c) 500(d) 5000I had been asked this question during an internship interview.I'd like to ask this question from Finite Difference Method in chapter Finite Difference Methods of Computational Fluid Dynamics
• Find the central second difference of u in y-direction using the Taylor series expansion.(a) \(\frac{u_{i,j+1}+2u_{i,j}+u_{i,j-1}}{(\Delta y)^2}\)(b) \(\frac{u_{i,j+1}-2u_{i,j}+u_{i,j-1}}{(\Delta y)^2}\)(c) \(\frac{u_{i,j+1}-2u_{i,j}-u_{i,j-1}}{(\Delta y)^2}\)(d) \(\frac{u_{i,j+1}+2u_{i,j}-u_{i,j-1}}{(\Delta y)^2}\)The question was posed to me during an interview for a job.Question is taken from Finite Difference Method topic in section Finite Difference Methods of Computational Fluid Dynamics
• Information about the magnitude and distribution of the truncation error can be useful for ____________(a) correcting the error(b) increasing the stability(c) refining the grid(d) converging the solutionThis question was addressed to me in class test.This is a very interesting question from Errors in Finite Difference Approximations topic in section Finite Difference Methods of Computational Fluid Dynamics