laws:advec
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laws:advec [2019/09/17 12:58] helene created |
laws:advec [2020/08/25 15:46] (current) |
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| ====== ADVEC ====== | ====== ADVEC ====== | ||
| ===== Description ===== | ===== Description ===== | ||
| - | ADVECTION‑DIFFUSION CONSTITUTIVE LAW FOR SOLID EULERIAN ELEMENTS (element CONV2 and [[elements:adve2|ADVE2]]) | + | Advection-diffusion constitutive law for solid eulerian elements (element CONV2 and [[elements:adve2|ADVE2]]) |
| ==== The model ==== | ==== The model ==== | ||
| This law is only used for linear pollutant transport in isotropic solids by upwind methods.\\ | This law is only used for linear pollutant transport in isotropic solids by upwind methods.\\ | ||
| - | This constitutive law takes into account the advection‑dispersion in the moving fluid but also degradation, adsorption on the solid matrix and immobile fluid effect as linear phenomena. This law is used for two‑dimensional flow. | + | \\ |
| + | This constitutive law takes into account the advection‑dispersion in the moving fluid but also degradation, adsorption on the solid matrix and immobile fluid effect as linear phenomena. \\ | ||
| + | \\ | ||
| + | This law is used for two‑dimensional flow. | ||
| ==== Files ==== | ==== Files ==== | ||
| Line 23: | Line 25: | ||
| ==== Integer parameters ==== | ==== Integer parameters ==== | ||
| ^ Line 1 (2I5) ^^ | ^ Line 1 (2I5) ^^ | ||
| - | |INDV|=0 constant advection| | + | |INDV|= 0 constant advection| |
| |:::|= 1 space time variation of advection| | |:::|= 1 space time variation of advection| | ||
| - | |:::|= 2 only space variation of advection| | + | |:::|= 2 only space variation of advection| |
| - | |:::|= 3 semi coupled analysis with flow| | + | |:::|= 3 semi coupled analysis with flow| |
| |INDM|= 0 same meshing for flow and pollution| | |INDM|= 0 same meshing for flow and pollution| | ||
| |:::|= 1 different meshing| | |:::|= 1 different meshing| | ||
| ==== Real parameters ==== | ==== Real parameters ==== | ||
| - | ^ Line 1 (7G10.0/7G10.0/3G10.0) ^^ | + | ^ Line 1 (7G10.0) ^^ |
| |UABS|- constant apparent velocity modulus| | |UABS|- constant apparent velocity modulus| | ||
| |TETA|constant apparent velocity direction (angle in RAD)| | |TETA|constant apparent velocity direction (angle in RAD)| | ||
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| |BEBEX|second facultative imposed upwind in X direction| | |BEBEX|second facultative imposed upwind in X direction| | ||
| |BEBEY|second facultative imposed upwind in Y direction| | |BEBEY|second facultative imposed upwind in Y direction| | ||
| + | ^ Line 2 (7G10.0) ^^ | ||
| |ATRANS|transversal dispersivity of the porous medium| | |ATRANS|transversal dispersivity of the porous medium| | ||
| |ALONG|longitudinal dispersivity of the porous medium| | |ALONG|longitudinal dispersivity of the porous medium| | ||
| Line 46: | Line 49: | ||
| |AM|degradation constant for mobile water| | |AM|degradation constant for mobile water| | ||
| |AIM|degradation constant for immobile water| | |AIM|degradation constant for immobile water| | ||
| + | ^ Line 3 (3G10.0) ^^ | ||
| |ALM|transfer constant for mobile water| | |ALM|transfer constant for mobile water| | ||
| |ALIM|transfer constant for immobile water| | |ALIM|transfer constant for immobile water| | ||
| Line 75: | Line 79: | ||
| ===== Stresses ===== | ===== Stresses ===== | ||
| ==== Number of stresses ==== | ==== Number of stresses ==== | ||
| - | = 8 | + | 8 |
| ==== Meaning (numerical, not physical) ==== | ==== Meaning (numerical, not physical) ==== | ||
| - | |SIG(1)|= pollutant flow in the X direction $(=q_X)$| | + | |SIG(1)|pollutant flow in the X direction $(=q_X)$| |
| - | |SIG(2)|= pollutant flow in the Y direction $(=q_Y)$| | + | |SIG(2)|pollutant flow in the Y direction $(=q_Y)$| |
| - | |SIG(3)|= pollutant dispersive flux in X direction| | + | |SIG(3)|pollutant dispersive flux in X direction| |
| - | |SIG(4)|= pollutant dispersive flux in Y direction| | + | |SIG(4)|pollutant dispersive flux in Y direction| |
| - | |SIG(5)|= pollutant storage due to time variation of concentration| | + | |SIG(5)|pollutant storage due to time variation of concentration| |
| - | |SIG(6)|= pollutant storage by convection and not restored by degradation| | + | |SIG(6)|pollutant storage by convection and not restored by degradation| |
| - | |SIG(7)|= pollutant flux from moving to non moving fluid| | + | |SIG(7)|pollutant flux from moving to non moving fluid| |
| - | |SIG(8)|= pollutant degradation| | + | |SIG(8)|pollutant degradation| |
| ===== State variables ===== | ===== State variables ===== | ||
| ==== Number of state variables ==== | ==== Number of state variables ==== | ||
| - | = 4 | + | 4 |
| ==== List of state variables ==== | ==== List of state variables ==== | ||
| - | |Q(1)| = fluid Darcy velocity in the X direction | | + | |Q(1)|fluid Darcy velocity in the X direction | |
| - | |Q(2)| = fluid Darcy velocity in the Y direction | | + | |Q(2)|fluid Darcy velocity in the Y direction | |
| - | |Q(3)| = fluid storage | | + | |Q(3)|fluid storage | |
| - | |Q(4)| = immobile water concentration. | | + | |Q(4)|immobile water concentration. | |
laws/advec.1568717889.txt.gz · Last modified: 2020/08/25 15:34 (external edit)
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