How does this depend on the length x of your simulation

Assignment Help Electrical Engineering

Reference no: EM131229069

Stability of the coupled leapfrog algorithm. Investigate the stability of the leapfrog algorithm (Equations 5.26) in a simulation; you can reuse your code from Problem 3.5. Use C = 96.8 pF, L = 0.242 µH, and
x = 0.01 m. Launch a Gaussian pulse (described by ?(0, t) = V0e-(t-t0) 2/τ 2 , where τ is the Gaussian pulse half-width, and should be at least 5-10 time steps. Choose t0 such that the pulse slowly ramps up from zero; generally t0 ≥ 3τ is sufficient. Vary the time step ?t, without changing the pulse shape, and investigate the stability of this algorithm. You will find it is most illustrative to look at the case where vp?t/?x is very close to one. How much larger than one can you make the CFL ratio before in instability takes over? How does this depend on the length x of your simulation?

Reference no: EM131229069

Questions Cloud

Write a program in java named prime factorization : Write a program in java named Prime Factorization that begins by reading in a series of positive integers on a single line of input and then computes and prints the product of those integers.

Discuss the disproportionate risk of holding inventory : Discuss the disproportionate risk of holding inventory by retailers ,wholesalers, and manufactures. why has there been a trend to push inventory back up the channel of distribution?

Derive the stability criteria for the second order : Stability of the Runge-Kutta methods. Derive the stability criteria for the second order and fourth-order Runge Kutta methods, applied to ODEs. Consider the model equation dy/dt = λy, and find the criteria for λ such that the methods are stable. R..

Differences between reactive and planning inventory logics : Discuss the differences between reactive and planning inventory Logics. what are the advantages of each? what are the major implications of each ?

How does this depend on the length x of your simulation : Choose t0 such that the pulse slowly ramps up from zero; generally t0 ≥ 3τ is sufficient. Vary the time step ?t, without changing the pulse shape, and investigate the stability of this algorithm. You will find it is most illustrative to look at th..

Decompose grade report into a set of 3nf relations : In what normal form is this relation in? Decompose Grade Report into a set of 3NF relations. Draw a relational model for your 3NF relations and show the referential relationships.

Research replacement desktops for our dell optiplex : You have been asked to research replacement desktops for our Dell Optiplex 755 systems running 4GB of RAM with 500GB of storage. Take time to research this model and come up with a vialble replacement solution. Explain how CPU speed, amount of mem..

Reads the same forwards and backward : 1. If an array contains n elements, what are the maximum number of recursive calls made by the binary search algorithm? 2. A palindrome is a string that reads the same forwards and backward. consider some example

Prominent black professor takes unpaid leave of absence : A prominent black professor takes an unpaid leave of absence to protest the fact that his extremely prominent university has failed to ever hire any black females in tenure-track (regular, permanent) positions on the faculty. When he does not return ..

User Account

All Pages