This paper presents an Euler and boundary-layer method capable of unsteady flow and aeroelastic simulations. An integral boundary-layer solver is coupled with an Euler solver in a “semi-inverse” manner. For the inviscid part, approximate wall boundaryconditions are implemented on non-moving mean chord positions, whereas the full nonlinear Euler equation is solved in the field for accurate resol...

Based on previous work extending the Discontinuous Galerkin method to multifluid flows, we analyze the performance of our numerical scheme. First, the advection of a contact discontinuity and a multifluid version of the Sod shock-tube problem are considered. We compare the oscillations generated by the non-conservative and conservative formulations of the ratio of specific heats equations, and ...

Owing to the axial symmetry of Earth’s magnetic field, paleomagnetic data only directly record latitudinal and azimuthal positions crustal blocks in past, paleolongitude cannot be constrained. An ability overcome this obstacle is thus fundamental importance paleogeographic reconstruction. Paleomagnetic Euler pole (PEP) analysis presents a unique means recover such information, but prior impleme...

the complex-step derivative approximation is applied to compute numerical derivatives. in this study, we propose a new formula of fractional complex-step method utilizing jumarie definition. based on this method, we illustrated an approximate analytic solution for the fractional cauchy-euler equations. application in image denoising is imposed by introducing a new fractional mask depending on s...

At first, the paper introduces research background of dynamic systems and discrete systems, then expounds basic theoretical knowledge Euler Method systems. Based on these knowledge, we illustrate application in autonomous non-autonomous.In system, expound famous Lorenz introduce two-dimensional Holling-Tanner systemin non-autonomous system. Finally, by using MATLAB software, obtain correspondin...