The fuel entropy and required drive energy for an inertial confinement fusion implosion are set by a sequence of shocks that must be precisely timed to achieve ignition. This Letter reports measurements of multiple spherical shock waves in liquid deuterium that facilitate timing inertial confinement fusion shocks to the required precision. These experiments produced the highest shock velocity o...

The assumption of the Convergence–Confinement Method (CCM) is analysis interaction behavior support and ground a deep circular tunnel under an isotropic stress field. Aiming to improve this method, paper proposes discussion on influence overburden depth anisotropy. To consider effect, reaction in different depths due advancing excavation investigated. Under anisotropic conditions, analytical so...

omotopy analysis method (ham) is a promising method for handling func-tional equations. recent publications proved the eectiveness of ham in solvingwide variety of problems in dierent elds. ham has a unique property whichmakes it superior to other analytic methods, this property is its ability to con-trol the convergence region of the solution series. in this work, we claried theadvantages ...

this paper deals with scrutinizing the convergence properties of iterative methods to solve linear system of equations. recently, several types of the preconditioners have been applied for ameliorating the rate of convergence of the accelerated overrelaxation (aor) method. in this paper, we study the applicability of a general class of the preconditioned iterative methods under certain conditio...

in this paper, we studied the numerical solution of nonlinear weakly singular volterra-fredholm integral equations by using the product integration method. also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear volterra-fredholm integral equations. the reliability and efficiency of the proposed scheme are...

In this paper we propose a novel method of adding turbulence to low-res. smoke simulation. We consider the physical properties of such low-res. simulation and add turbulence only to the appropriate position where the value of the energy cascade ratio is judged as physically correct. Our method can prevent noise in the whole region of fluid surfaces which appeared with previous methods. We also ...

Understanding the phenomena of shock propagation and of turbulent mix induced by Rayleigh-Taylor (RT) instability growth is of critical importance for ignition and high gain in inertial confinement fusion (ICF). Capsule assembly and hot-spot formation require careful timing of multiple shocks to maximize hot-spot heating while minimizing heating of the main fuel. Unmitigated mixing of the main ...

least squares method (lsm) is an accurate and rapid method for solving some analytical andnumerical problems. this method can be used to estimate the average reservoir pressure in well testanalysis. in fact, it may be employed to estimate parameters such as permeability (k) and porevolume (vp). regarding this point, buildup, drawdown, late transient test data, modified muskatmethod, interferenc...

We propose a numerical method for maintaining a dynamic rolling motion of animated gaseous phenomena, such as smoke, that avoids dissipation due to numerical error. We compensate for the errors induced by a semi-Lagrangian scheme using an error estimate for each time interval. We develop a new advection term and perform vortex advection based on a vorticity confinement force. Example simulation...