Regarding “Ω” and “ɸ” in Eddy Current Solver’s governing equations in Maxwell3D

    • kavatar

      Could anyone please explain to me the difference between "Ω" and "ɸ" used in the governing equations of "Eddy current solver", discussed in Maxwell3D technical note.

      In the manual the H is defined in the following way: 

      While governing equations are given as: 

      How "Ω" and "ɸ" are related? Is there any list of symbols used in Maxwell3D technical note?

      Also, please suggest any reference paper on T-Ω formulation used in Maxwell3D eddy current solver?


    • Deyu Li
      Ansys Employee

      Ω is nodal-based magnetic scalar potential, defined in the entire solution domain while ɸ is only in limited regions.

      Reference papers:

      Nonlinear T- Ω Formulation Including Motion for Multiply Connected 3-D Problems. 2008 P.Zhou

      The second order finite element analysis of eddy currents based on the T-Ω method 2015 B.He


    • kavatar

      Dear Deyu Li,

      Thanks for your response.

      I am following the second paper by B. He (2015). It clearly explains governing equations in the form of T-Ω. These are very much clear to me but I am not able to find much details of equation in the form of ɸ.

      How governing equations which are in the form Ω are transformed in the form of ɸ? Could you please comment on this or provide any reference?




    • todd toddcarson


      I am appreciative of your response.

      I am keeping up with the second paper that B. He has written (2015). It provides a concise and comprehensible explanation of governing equations in the form of T-. These are fairly clear to me, however I can’t seem to find much information about the equation in the form of.

      How are the equations that regulate the system, which are in the form, changed such that they are in the form? Would you kindly remark on this or point me in the direction of any relevant references?  basketball stars


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