Correction to "Steady-state saturated groundwater flow modeling with full tensor conductivities using finite differences"
نویسندگان
چکیده
We present a new three-dimensional steady-state saturated groundwater-flow forward-simulator with full conductivity tensors using a nineteen-points block-centered finite-difference method. Hydraulic conductivity tensors are defined at the block interfaces eliminating the need to average conductivity tensors at adjacent blocks to approximate their values at the interfaces. The capabilities of the code are demonstrated in three heterogeneous formulations, two of the examples are two-dimensional, and the third one is three-dimensional and uses a nonuniform discretization grid. A benchmark, in the context of conductivity upscaling, is carried out with the MODFLOW LVDA module, which uses hydraulic conductivity tensors at block centers and then approximates their values at the interfaces. The results show that our code gives more accurate predictions for the interblock fluxes than the MODFLOW LVDA module when the block conductivity principal directions are not parallel to the Cartesian axis.
منابع مشابه
Three-dimensional hydraulic conductivity upscaling in groundwater modeling
The main point of this paper is to propose a non-local three-dimensional hydraulic conductivity full tensor upscaling algorithm and code. The algorithm is capable of transforming very refined cell conductivity models into coarse block conductivity models for quick and accurate solution of the groundwater flow equation. Flow rate and hydraulic head gradient are the variables used to relate the o...
متن کاملLocally conservative, stabilized finite element methods for variably saturated flow
Standard Galerkin finite element methods for variably saturated groundwater flow have several deficiencies. For instance, local oscillations can appear around sharp infiltration fronts without the use of mass-lumping, and velocity fields obtained from differentiation of pressure fields are discontinuous at element boundaries. Here, we consider conforming finite element discretizations based on ...
متن کاملPressure-Velocity Coupled Finite Volume Solution of Steady Incompressible Invscid Flow Using Artificial Compressibility Technique
Application of the computer simulation for solving the incompressible flow problems motivates developing efficient and accurate numerical models. The set of Inviscid Incompressible Euler equations can be applied for wide range of engineering applications. For the steady state problems, the equation of continuity can be simultaneously solved with the equations of motion in a coupled manner using...
متن کاملEecient Parallel Multigrid Based Solvers for Large Scale Groundwater Flow Simulations
{ In this paper we present parallel solvers for large linear systems arising from the nite-element discretization of three-dimensional groundwater ow problems. We have tested our parallel implementations on the Intel Paragon XP/S 150 super-computer using up to 1024 parallel processors. Our solvers are based on multigrid and Krylov subspace methods. Our goal is to combine powerful algorithms and...
متن کاملSteady Flow Analysis and Modeling of the Gas Distribution Network Using the Electrical Analogy (RESEARCH NOTE)
The mathematical modeling of a gas network is a powerful tool in order to identify the behavior of system under the different conditions. The modeling can be performed both for the steady state and unsteady state conditions. It is possible to use the fluid flow basic governing equations or the electrical analogy concept for developing the model. The second approach provides a simpler and more r...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Computers & Geosciences
دوره 36 شماره
صفحات -
تاریخ انتشار 2010