2D version of mass co-ordinate -- CFD Online Discussion Forums

August 15, 2023, 12:55	2D version of mass co-ordinate	#1
hunt_mat Senior Member Matthew Join Date: Mar 2022 Location: United Kingdom Posts: 177 Rep Power: 4	It is possible to simplify the Euler equations by introducing a new set of Lagrangian co-ordinates. $(t,x)\mapsto (t',h)$ , by t=t' and h is defined by: $\frac{\partial h}{\partial x}=\rho$ This method has the nice property of fixing the amount of mass in an interval(this can be demonstrated by integrating the definition of h, and using the Lagrangian conservation of mass. My question is this: Is there something similar for 2D?

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