Computation of partial derivatives when crossing a jump of hydromechanical parameters

Abstract

Algorithms for determining the gradients and second partial derivatives of hydromechanical parameters when crossing the zone of their jump are considered. It is demonstrated that in this case, the integration steps with respect to the spatial coordinates must be variable and nonmonotonic and must pass the minimum. Two examples of determining the values of variable integration-steps for one of the spatial coordinates in relation to the values of this coordinate are presented.