Publication Date:
2019-07-13
Description:
A nontraditional numerical method for solving conservation laws is being developed. The new method is designed from a physicist's perspective, i.e., its development is based more on physics than numerics. Even though it uses only the simplest approximation techniques, a 2D time-marching Euler solver developed recently using the new method is capable of generating nearly perfect solutions for a 2D shock reflection problem used by Helen Yee and others. Moreover, a recent application of this solver to computational aeroacoustics (CAA) problems reveals that: (1) accuracy of its results is comparable to that of a 6th order compact difference scheme even though nominally the current solver is only of 2nd-order accuracy; (2) generally, the non-reflecting boundary condition can be implemented in a simple way without involving characteristic variables; and (3) most importantly, the current solver is capable of handling both continuous and discontinuous flows very well and thus provides a unique numerical tool for solving those flow problems where the interactions between sound waves and shocks are important, such as the noise field around a supersonic over- or under-expansion jet.
Keywords:
NUMERICAL ANALYSIS
Type:
NASA-TM-106915
,
E-9623
,
NAS 1.15:106915
,
AIAA PAPER 95-1754
,
Annual Maryland Conference on The Evolution of X-ray Binaries; Jun 19, 1995 - Jun 22, 1995; San Diego, CA; United States
Format:
application/pdf
