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Equation based solution of system of PDEs. Example sought after.

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Hi, the cited reference to the Black-Scholes equation provided me with helpful introduction to using equation based modelling. However I would also like to study an example, - if any exist, - on how to implement a system of PDEs. More specifically I have a system of time-dependent DE derived from a model of a chemical sensor. The concentrations of many species, up to 10, are described by those equations, and and wnat to set up a time-dependent solution. It would be nice to be able to follow an example though. Any directions greatly appreciated. Regards Poul Ravn Sørensen Radiometer Medical ApS


1 Reply Last Post 23 ott 2017, 16:50 GMT-4
Jeff Hiller COMSOL Employee

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Posted: 7 years ago 23 ott 2017, 16:50 GMT-4

Hello Poul Ravn,

When you have multiple variables involved in your own equations, you're often better off setting them up in a single physics interface than in separate ones. A couple of example with two variables (and two equations) are here: https://www.comsol.com/model/the-shallow-water-equations-202 https://www.comsol.com/model/electrical-signals-in-a-heart-981

But if it is chemical reactions that you are trying to model, you may want to look into the Chemical Reaction Engineering Module ( https://www.comsol.com/chemical-reaction-engineering-module ) as well, as it includes ready-to-use interfaces for this that will make your life much easier, especially when you are talking about 10 species.

Best, Jeff

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Jeff Hiller
Hello Poul Ravn, When you have multiple variables involved in your own equations, you're often better off setting them up in a single physics interface than in separate ones. A couple of example with two variables (and two equations) are here: https://www.comsol.com/model/the-shallow-water-equations-202 https://www.comsol.com/model/electrical-signals-in-a-heart-981 But if it is chemical reactions that you are trying to model, you may want to look into the Chemical Reaction Engineering Module ( https://www.comsol.com/chemical-reaction-engineering-module ) as well, as it includes ready-to-use interfaces for this that will make your life much easier, especially when you are talking about 10 species. Best, Jeff

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