A study of referenceplane methods for unsteady plane flows
Abstract
The paper investigates the referenceplane method, by which an unsteady plane flow problem can be reduced to a twodimensional one. The original version of Moretti and Abbett (1966), in which a vertical plane is chosen as reference plane, is reviewed. To follow somewhat closer the physics of the flow, a sloping reference plane containing the streamline along the wall is considered. For Ringleb flow, a local polar coordinate system is chosen. Testing consisted of calculating the change in time of the flow variables at a point downstream on the wall streamline after one application of algorithms involving (1) interpolating the values to second order from exact nodal values and (2) use of exact Ringleb values. Both vertical and sloping reference planes were used, and several different mesh sizes were tried. The errors were determined, and it was found that the equations for the sloping reference plane are less sensitive to interpolation errors.
 Publication:

Boundary Algorithms for Multidimensional Inviscid Hyperbolic Flows
 Pub Date:
 1978
 Bibcode:
 1978bami.proc...17T
 Keywords:

 Error Analysis;
 Flow Equations;
 Polar Coordinates;
 Two Dimensional Flow;
 Unsteady Flow;
 Algorithms;
 Method Of Characteristics;
 Supersonic Flow;
 Wall Flow;
 Fluid Mechanics and Heat Transfer