CONTINUOUS SIMULATION Spencer Smith Niles Flores Andrew Jones

CONTINUOUS SIMULATION Spencer Smith Niles Flores Andrew Jones

CONTINUOUS SIMULATION DEFINITION Continuous Simulation refers to a computer model of a physical system that continuously tracks system response over time according to a set of equations typically involving differential equations.

CONCEPTS Can be used for the testing, development, and control of machines. Uses mathematical processes to figure results over a certain period of time and see how the outcomes are affected. Dynamic analysis of behavior can help improve performances by the information that is given. Uses ODEs to give a time response of a physical model therefore gives a numerical approximation procedure.

PREDATOR/PREY MODEL A widely known example for a continuous simulation conceptual model is the “predator/prey model”. This model is used for revealing the dynamics of populations. As long as the population of the prey is on the rise, the predators population also rises, since they have enough to eat. But very soon the population of the predators becomes too large so that the hunting exceeds the recreation of the prey. This leads to a decrease in the prey’s population and as a consequence of this also to a decrease of predators population as they do not have enough food to feed the entire population.

TOOLS USED IN CONTINUOUS SIM Continuous simulators can also be used to simulate systems consisting of discrete entities if the number of entities is large so that the movement can be treated as a flow. Continuous simulators solve differential equations that describe the evolution of a system using continuous equations. These types of simulators are most appropriate if the material or information that is being simulated can be described as evolving or moving smoothly and continuously. A common class of continuous simulators are system dynamics tools, based on the standard stock and flow approach.

APPLICATIONS Commercial flight simulators Jet plane auto pilots

APPLICATIONS CONT. Advanced Engineering Tools Inside Wii stations

WHERE EXTENSIVE SOURCES OF INFORMATION CAN BE FOUND The first source is from a UK school source. It gives a few bullets summarizing what http: //users. ecs. soton. ac. uk/jn 2/simulation/continu ous. html Scholarly articles are always a good source of information. This one it particular looks at the effects http: //eds. b. ebscohost. com. proxy. lib. odu. edu/eho st/detail? vid=3&sid=6 b 511 a 1 a-f 766 -462 b-96 b 7 bebc 2310 a 019%40 sessionmgr 198&hid=106&bdata =Jn. Npd. GU 9 ZWhvc 3 Qtb. Gl 2 ZSZz. Y 29 w. ZT 1 za. XRl# db=a 9 h&AN=86273583 This last source is a digital copy of the textbook of a continuous simulation course. It gives some insight about the book http: //www. sml. ee. upatras. gr/uploadedfiles/bookck/00 -front-matter. pdf continuous simulation is. It also provides a couple of examples. of both discrete and continuous simulation for cost effective analysis. itself, its changes since previous copies as well as some general info on continuous simulation.

SOURCES "Cite. Seer. X — Integrating Continuous-time and Discrete-event Concepts in Modelling and Simulation of Manufacturing Machines. Simulation Practice and Theory. " Cite. Seer. X — Integrating Continuous-time and Discrete-event Concepts in Modelling and Simulation of Manufacturing Machines. Simulation Practice and Theory. N. p. , n. d. Web. 23 Feb. 2014. "Continuous Simulation - Google Search. " Continuous Simulation - Google Search. N. p. , n. d. Web. 23 Feb. 2014. (February 23, 2014). Continuous-time simulations. M. O. Soares and L. s. C. e. Castro. (2012, Continuous Time Simulation and Discretized Models for Cost-Effectiveness Analysis. Pharmaco. Economics 30(12), 1101 -1117. ) F. Celliur and E. Kofman, Continuous System Simulation, pp. 1 -17, 2006.

CONTRIBUTION Andrew Jones – Slides 2 -3 Niles Flores – Slides 4 -7 Spencer Smith – Slides 8 -9, put final presentation together