159 1994 Björn Sjögreen bjorns@tdb.uu.se Numerical Experiments With the Multiresolution Scheme for the Compressible Euler Equations {\bf Abstract} We investigate the performance of the multiresolution method. The method was recently proposed [1] as a way to speed up computations of compressible flows. The method is based on truncating wavelet coefficients. In [1] the method showed good performance on one dimensional test problems. We implement the method in two space dimensions for a more complex compressible flow computation, intended to simulate conditions under which many production {\cap cfd} codes are running. Our conclusion is that we can in many cases reduce the {\cap cpu} time, but that the gain in efficiency is not as large as for the one dimensional problems reported in [1]. We furthermore observe that it is essential to use the adaptive multiresolution method, which mixes centered differences with {\cap tvd} methods. \bigskip {\bf Key words.} Finite volume method, {\cap tvd} scheme, multiresolution method, compressible fluid flow \bigskip {\bf AMS(MOS) subject classifications.} 65N06, 65Y20, 76N10