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Modeling Flow and Pressure Fields in Porous Media with High Conductivity Flow Channels and Smart Placement of Branch Cuts for Variant and Invariant Complex Potentials
2019
Fluids
A long overdue distinction between so-called variant and invariant complex potentials is proposed here for the first time. Invariant complex potentials describe physical flows where a switch of the real and imaginary parts of the function will still describe the same type of physical flow (but only rotated by π/2). Such invariants can be formulated with Euler's formula to depict the same flow for any arbitrary orientation with respect to the coordinate system used. In contrast, variant complex
doi:10.3390/fluids4030154
fatcat:rbidkwnysrcyddzygky3i7f6zi