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Dive into the world of physics modeling and discover how influential scientists like Newton, Hooke, and Bernoulli have shaped our understanding of the laws governing the universe. Explore the importance of modeling in science to save time and costs, and learn how software like COMSOL can simplify complex physics problems and streamline research and development. With user-friendly interfaces and vast capabilities covering elasticity, heat transfer, and electromagnetics, COMSOL is poised to be an essential tool for anyone in the field.
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Isaac Newton (1643 -1727) F=m*a Also known from the Da Vinci Code
Robert Hooke (1635 – 1703) Force (F) F=k*s Extension (s)
Daniel Bernoulli (1700 -1782) ½rv2+rgh+p=constant
Joseph Fourier (1768-1830) q=k(T-Tref)/L
Georg Ohm (1787 – 1854) V=I*R
Science can be fun ... (1879-1955) ... and rewarding (1833-1896)
fun... ...failure... ... and disaster...
This bridge should have been modeled
Why modeling? • Suppose the laws of physics were unknown • Every idea must be tested... ...and tested ... and tested • Trial and error: very expensive .....
Why modeling? Save money by 1 Describing the physics mathematically 2 Solving the mathematical problem PHYSICS IDEA BY FORMULA SOLUTION dynamics: Newton: F=m*a -> a=F/m mechanics: Hooke: F=k*s -> s=F/k gas/liquid flow Bernoulli: ½rv2+rgh+p=c -> v=2√ [(c-rgh-p)/r] heat: Fourier: q=k(T-Tref)/L -> T=qL/k+Tref current Ohm: V=I*R -> I=V/R electromagnetics Maxwell: Ask Magnus Olsson ..............
Why modeling with software • Simple geometry => Single equation • Complex geometries => lots of equations F=k*s -> s=F/k s=???
Why Comsol? • Lots of physics, lots of software • Elasticity – Abaqus, Ansys, Nastran etc • Air resistance – Fluent, CFX etc • Electronics – Ansoft, Maxwell • Heat transfer – Flowterm • Chemical reactions – Aspen • COMSOL covers all
Why Comsol? • Do we need to model all physics? • Not always. But Comsol is very userfriendly
Why Comsol? • Many times physics influences other physics • Other softwares then need to be bundeled • Comsol is specifically written for this • Chemical reactions produce heat • Electronic get hot • Hot devices expand or melt • expensive • lots of work to write interfaces
Comsol! • for all your research and development • Affordable • Powerfull • Userfriendly • Competative
How does Comsol work? • Geometry -> create computerdrawing • Physics -> laws of nature (F=k*s etc.) • Meshing -> to handle complex geometry together with the physics • Solving -> Mathematical operations • Postprocessing -> Viewing the results
More detailed example F=k*s sleft sright Finternal=k*sinternal sinternal ? Fexternal ?
Displacements S5 S2 S7 S17 S44 S1 S9 S23 S49 S4 S18 S8 S3
Equations S5 S2 F7=k7*S7+neighboring nodal influence S17 S44 F1 = k1*S1 + neighboring nodal influence + external force S9 S23 S49 S4 S18 F8=k8*S8+neighboring nodal influence S3 External force External force
A large set of equations F1=k1*S1+neighboring nodal influence + external force . . . . F7=k7*S7 + neighboring nodal influence F8=k8*S8 + neighboring nodal influence . . . . F49=k49*S49+neighboring nodal influence + external force
Fully write out all equations • Neighboring nodal influence must be described mathematically
which can then be solved Remember F=k*s => s=F/k => s=(1/k)*F Comsol does this all under the hood
And finally.... viewing the results • Results can be viewed
Thank you for your attention Next up: Discussion Coffee Soccer