The Scientific Achievements of J. Alberto Ochoa-Tapia

Abstract

Abstract This work is devoted to briefly describe the scientific achievements of J. Alberto Ochoa-Tapia and his research group along almost three decades. The motivation for performing this review is not only to acknowledge his contributions, but also to share with the scientific community a brilliant scientific career. Although an exhaustive and complete review is beyond the scope of this paper, many of Alberto’s scientific contributions are briefly described. In addition, special attention is dedicated to three subjects, namely: Chang’s unit cell, the derivation of boundary conditions between a porous medium and a fluid and the use of Green’s functions to solve boundary-value problems. The first one is a convenient approach to derive analytical expressions of effective-medium coefficients resulting from the volume averaging method. The second one is Alberto’s most referenced work and it is of paramount importance since it provides the means to complete the statement of multiscale modeling. The third focus of attention is about the use of Green’s functions to solve nonlinear boundary-value problems in an efficient manner. Finally, his current and future works are discussed.