TEST SET DESCRIPTION FOR METHODS AND PROGRAMS DESIGNED FOR 2-D HEAT CONDUCTION CALCULATIONS
Yu.A. Bondarenko, B.L.Vогоnin, V.V. Gоrev, V.I. De1оv, E.N. Zubоv, Yu.M. Matveev, A.I. Mоrenко, S.S. Sоко1оv, V.E. Shemarulin
VANT. Ser.: Mat. Mod. Fiz. Proc 1992. Вып.2. С. 14-20.
A description of four test problems is proposed intended for testing methods and programs for numerical 2-D heat conduction calculations.
|
EXACT SOLUTIONS FOR QUASILINEAR DIFFUSION EQUATIONS WITH HEAT WAVES MOVING AT AN ANGLE TO MATERIAL BOUNDARIES
Yu.A. Bondarenko
VANT. Ser.: Mat. Mod. Fiz. Proc 1992. Вып.2. С. 21-23.
For a multilayer medium consisting of various materials with their boundaries being straight lines, a method is described to derive exact solutions for the quasllinear diffusion equation:  where the constants ci, vi and æi, differ for each material i while being interrelated. Well-known 1-D solutions are used such as the solution for a heat wave moving with a constant velocity through zero background. Temperature and flow equivalence requirements for the boundary between different materials imply some constraints on parameters ci, vi and æi resulting from the angle between the heat wave front and material boundary and also from the heat wave velocity. A specific problem is cited to be used as a test one.
|
English
