For general information, see the ADCIRC site, ADCIRC FAQ, or the ADCIRC Wikipedia page. For model documentation not yet available on the wiki, see the ADCIRC site. New content is being continuously added to the ADCIRCWiki, and material from the main ADCIRC site will be gradually transitioned over to the wiki.
IM: Difference between revisions
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'''IM''' is an important parameter in the [[fort.15 file]] that defines numerical model formulation and dimension. | '''<code>IM</code>''' is an important parameter in the [[fort.15 file]] that defines numerical model formulation and dimension. Among other things, <code>IM</code> specifies whether ADCIRC is solved in two-dimensional depth-integrated (2DDI) or in three-dimensions (3D), solution of the governing equations is semi-implicit or explicit in time, and whether the model formulation is barotropic or baroclinic. Popular values for 2D barotropic ADCIRC include <code>IM=0</code> and <code>IM=111112</code>; users should be aware that the <code>[[A00, B00, C00]]</code> coefficients must be specified differently in these two cases. | ||
== Default IM Values == | == Default IM Values == | ||
Default simulation option combinations can be specified through single or double digit values, some of which are shortcuts to the six-digit codes described in the next heading. | Default simulation option combinations can be specified through single or double digit values, some of which are shortcuts to the six-digit codes described in the next heading. | ||
The available IM values are specified below: | The available <code>IM</code> values are specified in the table below and in the following section on 6-digit values: | ||
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|} | |} | ||
Note that all default IM values employ the semi-implicit consistent GWCE mass matrix solver. It has less numerical error than the explicit mass-lumping approach at the expense of computational time and memory. | Note that all default <code>IM</code> values employ the semi-implicit consistent GWCE mass matrix solver. It has less numerical error and tends to be more stable than the explicit mass-lumping approach at the expense of computational time and memory. | ||
== Six-digit IM Codes == | == Six-digit IM Codes == | ||
For fine-grained control of various options six-digit codes for IM can be specified. Each digit represents a specific option regarding the dimension and the formulation of certain terms or integration methods in the GWCE or momentum equations. | For fine-grained control of various options six-digit codes for <code>IM</code> can be specified. Each digit represents a specific option regarding the dimension and the formulation of certain terms or integration methods in the GWCE or momentum equations. | ||
The available options for each digit are specified below, with the first digit being the left-most | The available options for each digit are specified below, with the first digit being the left-most. The internal flags that are set are listed to help users dig through the code. | ||
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|- | |- | ||
| 1 (default) | | 1 (default) | ||
| 2DDI, Kolar-Gray flux-based | | 2DDI, Kolar-Gray flux-based<br/><code>CGWCE_LS_KGQ=.TRUE.</code> | ||
| Non conservative | | Non conservative<br/><code>CGWCE_Advec_NC=.TRUE.</code> | ||
| Integration by parts, velocity-based | | Integration by parts, velocity-based<br/><code>CME_LS_IBPV=.TRUE.</code> | ||
| Non conservative | | Non conservative<br/><code>CME_New_NC=.TRUE.</code> | ||
| Corrected | | Corrected <br/><code>CME_AreaInt_Corr=.TRUE.</code> | ||
| Consistent ( | | Consistent (implicit for linear part of gravity wave term), barotropic<br/><code>ILump=0</code> | ||
|- | |- | ||
| 2 | | 2 | ||
| 2DDI, 2-part flux-based | | 2DDI, 2-part flux-based<br/><code>CGWCE_LS_2PartQ=.TRUE.</code> | ||
| Conservative form 1 | | Conservative form 1<br/><code>CGWCE_Advec_C1=.TRUE.</code> | ||
| Integration by parts, flux-based | | Integration by parts, flux-based<br/><code>CME_LS_IBPQ=.TRUE.</code> | ||
| Conservative form 1 | | Conservative form 1<br/><code>CME_New_C1=.TRUE.</code> | ||
| Original | | Original <br/><code>CME_AreaInt_Orig=.TRUE.</code> | ||
| Lumped (explicit), barotropic | | Lumped (explicit), barotropic<br/><code>CGWCE_Lump=.TRUE.</code>, <code>ILump=1</code> | ||
|- | |- | ||
| 3 | | 3 | ||
| 2DDI, 2-part velocity-based | | 2DDI, 2-part velocity-based<br/><code>CGWCE_LS_2PartV=.TRUE.</code> | ||
| Conservative form 2 | | Conservative form 2<br/><code>CGWCE_Advec_C2=.TRUE.</code> | ||
| Integration by parts, velocity-based symmetrical | | Integration by parts, velocity-based symmetrical<br/><code>CME_LS_IBPSV=.TRUE.</code> | ||
| Conservative form 2 | | Conservative form 2<br/><code>CME_New_C2=.TRUE.</code> | ||
| - | | - | ||
| | | Consistent (implicit for full gravity wave term), barotropic<br/><code>CGWCE_HDP=.TRUE.</code>, <code>IFNL_HDP=1</code>, <code>ILump=0</code> {{ADC version|version=55|relation=+}} | ||
|- | |- | ||
| 4 | | 4 | ||
| 2DDI, 2-part flux-based symmetrical | | 2DDI, 2-part flux-based symmetrical<br/><code>CGWCE_LS_2PartSQ=.TRUE.</code> | ||
| - | |||
| Integration by parts, flux-based symmetrical<br/><code>CME_LS_IBPSQ=.TRUE.</code> | |||
| - | | - | ||
| - | | - | ||
| - | | - | ||
|- | |- | ||
| 5 | | 5 | ||
| 2DDI, 2-part velocity-based symmetrical | | 2DDI, 2-part velocity-based symmetrical<br/><code>CGWCE_LS_2PartSV=.TRUE.</code> | ||
| - | |||
| 2 Part, velocity-based (''not implemented'')<br/><code>CME_LS_2PartV=.TRUE.</code> | |||
| - | | - | ||
| - | | - | ||
| - | | - | ||
|- | |- | ||
| 6 | | 6 | ||
| 3D, Kolar-Gray flux-based | | 3D, Kolar-Gray flux-based<br/><code>C2DDI=.FALSE.</code>, <code>CGWCE_LS_KGQ=.TRUE.</code>, <code>C3D=.TRUE.</code>, <code>C3DVS=.TRUE.</code>, <code>ILump=0</code> | ||
| - | |||
| 2 Part, flux-based (''not implemented'')<br/><code>CME_LS_2PartQ=.TRUE.</code> | |||
| - | | - | ||
| - | | - | ||
| - | | - | ||
|} | |} | ||
A common code combination is IM = 111112, which | A common code combination is <code>IM=111112</code>, which is identical to the default <code>111111</code> (same as <code>IM=0</code>), but simulates in explicit mass-lumping mode. Note that <code>[[A00, B00, C00]]</code> must be set to <code>0.0 1.0 0.0</code> when in this mode. Lumped explicit mode is a useful alternative to the (default) semi-implicit consistent GWCE mass matrix mode, because the latter requires a matrix solve that increases computational time and memory. By comparison, the explicit mass-lumping mode is about twice as fast and scales to fewer grid nodes per computational core.<ref>S. Tanaka, S. Bunya, J.J. Westerink, C. Dawson, R.A. Luettich, Scalability of an Unstructured Grid Continuous Galerkin Based Hurricane Storm Surge Model, J. Sci. Comput. 46 (2011) 329–358. doi:10.1007/s10915-010-9402-1</ref> Moreover, for model setups that are sufficiently resolved in space and time, differences in the solution between approaches should be small. Though, many users have reported somewhat lower stability in lumped explicit mode. | ||
The most recent version (55+) also has an option that improves the (default) semi-implicit consistent GWCE mass matrix mode to compute the complete (total depth) gravity wave term (free surface gradient) implicitly; toggled by setting IMDigit-6 to 3. The default version (IMDigit-6=1), only computes the initial still water depth component of the free surface gradient implicitly, which might make it more susceptible to CFL violations in shallow depths and can encounter Matrix diagonality issues overland where the initial still water depth is negative. | |||
== References == | == References == | ||
<references /> | <references /> |
Latest revision as of 15:30, 21 August 2020
IM
is an important parameter in the fort.15 file that defines numerical model formulation and dimension. Among other things, IM
specifies whether ADCIRC is solved in two-dimensional depth-integrated (2DDI) or in three-dimensions (3D), solution of the governing equations is semi-implicit or explicit in time, and whether the model formulation is barotropic or baroclinic. Popular values for 2D barotropic ADCIRC include IM=0
and IM=111112
; users should be aware that the A00, B00, C00
coefficients must be specified differently in these two cases.
Default IM Values
Default simulation option combinations can be specified through single or double digit values, some of which are shortcuts to the six-digit codes described in the next heading.
The available IM
values are specified in the table below and in the following section on 6-digit values:
IM Value | Six-digit Equivalent | Description |
---|---|---|
0 | 111111 | Barotropic 2DDI |
1 | 611111 | Barotropic 3D velocity-based momentum |
2 | - | Barotropic 3D stress-based momentum |
10 | - | Barotropic 2DDI with passive scalar transport |
11 | - | Barotropic 3D velocity-based momentum with passive scalar transport |
20 | - | Baroclinic 2DDI |
21 | - | Baroclinic 3D velocity-based momentum |
30 | - | Baroclinic 2DDI with passive scalar transport |
31 | - | Baroclinic 3D velocity-based momentum with passive scalar transport |
Note that all default IM
values employ the semi-implicit consistent GWCE mass matrix solver. It has less numerical error and tends to be more stable than the explicit mass-lumping approach at the expense of computational time and memory.
Six-digit IM Codes
For fine-grained control of various options six-digit codes for IM
can be specified. Each digit represents a specific option regarding the dimension and the formulation of certain terms or integration methods in the GWCE or momentum equations.
The available options for each digit are specified below, with the first digit being the left-most. The internal flags that are set are listed to help users dig through the code.
Value | Digit 1: 2DDI/3D, Lateral Stress in GWCE[1] | Digit 2: Advection in GWCE[2] | Digit 3: Lateral Stress in Momentum[1] | Digit 4: Advection in Momentum[2] | Digit 5: Area Integration in Momentum | Digit 6: GWCE Mass Matrix, Barotropic/Baroclinic | ||
---|---|---|---|---|---|---|---|---|
1 (default) | 2DDI, Kolar-Gray flux-basedCGWCE_LS_KGQ=.TRUE.
|
Non conservativeCGWCE_Advec_NC=.TRUE.
|
Integration by parts, velocity-basedCME_LS_IBPV=.TRUE.
|
Non conservativeCME_New_NC=.TRUE.
|
Corrected CME_AreaInt_Corr=.TRUE.
|
Consistent (implicit for linear part of gravity wave term), barotropicILump=0
| ||
2 | 2DDI, 2-part flux-basedCGWCE_LS_2PartQ=.TRUE.
|
Conservative form 1CGWCE_Advec_C1=.TRUE.
|
Integration by parts, flux-basedCME_LS_IBPQ=.TRUE.
|
Conservative form 1CME_New_C1=.TRUE.
|
Original CME_AreaInt_Orig=.TRUE.
|
Lumped (explicit), barotropicCGWCE_Lump=.TRUE. , ILump=1
| ||
3 | 2DDI, 2-part velocity-basedCGWCE_LS_2PartV=.TRUE.
|
Conservative form 2CGWCE_Advec_C2=.TRUE.
|
Integration by parts, velocity-based symmetricalCME_LS_IBPSV=.TRUE.
|
Conservative form 2CME_New_C2=.TRUE.
|
- | Consistent (implicit for full gravity wave term), barotropicCGWCE_HDP=.TRUE. , IFNL_HDP=1 , ILump=0
| ||
4 | 2DDI, 2-part flux-based symmetricalCGWCE_LS_2PartSQ=.TRUE.
|
- | Integration by parts, flux-based symmetricalCME_LS_IBPSQ=.TRUE.
|
- | - | - | ||
5 | 2DDI, 2-part velocity-based symmetricalCGWCE_LS_2PartSV=.TRUE.
|
- | 2 Part, velocity-based (not implemented)CME_LS_2PartV=.TRUE.
|
- | - | - | ||
6 | 3D, Kolar-Gray flux-basedC2DDI=.FALSE. , CGWCE_LS_KGQ=.TRUE. , C3D=.TRUE. , C3DVS=.TRUE. , ILump=0
|
- | 2 Part, flux-based (not implemented)CME_LS_2PartQ=.TRUE.
|
- | - | - |
A common code combination is IM=111112
, which is identical to the default 111111
(same as IM=0
), but simulates in explicit mass-lumping mode. Note that A00, B00, C00
must be set to 0.0 1.0 0.0
when in this mode. Lumped explicit mode is a useful alternative to the (default) semi-implicit consistent GWCE mass matrix mode, because the latter requires a matrix solve that increases computational time and memory. By comparison, the explicit mass-lumping mode is about twice as fast and scales to fewer grid nodes per computational core.[3] Moreover, for model setups that are sufficiently resolved in space and time, differences in the solution between approaches should be small. Though, many users have reported somewhat lower stability in lumped explicit mode.
The most recent version (55+) also has an option that improves the (default) semi-implicit consistent GWCE mass matrix mode to compute the complete (total depth) gravity wave term (free surface gradient) implicitly; toggled by setting IMDigit-6 to 3. The default version (IMDigit-6=1), only computes the initial still water depth component of the free surface gradient implicitly, which might make it more susceptible to CFL violations in shallow depths and can encounter Matrix diagonality issues overland where the initial still water depth is negative.
References
- ↑ 1.0 1.1 K.M. Dresback, R.L. Kolar, R.A. Luettich, Jr. (2005). On the Form of the Momentum Equation and Lateral Stress Closure Law in Shallow Water Modeling, in: Estuar. Coast. Model., American Society of Civil Engineers, Reston, VA, 399–418. doi:10.1061/40876(209)23
- ↑ 2.0 2.1 K.M. Dresback, R.L. Kolar, J.C. Dietrich (2005). On the Form of the Momentum Equation for Shallow Water Models Based on the Generalized Wave Continuity Equation: Conservative vs. Non-Conservative. Advances in Water Resources, 28(4), 345-358. doi:10.1016/j.advwatres.2004.11.011
- ↑ S. Tanaka, S. Bunya, J.J. Westerink, C. Dawson, R.A. Luettich, Scalability of an Unstructured Grid Continuous Galerkin Based Hurricane Storm Surge Model, J. Sci. Comput. 46 (2011) 329–358. doi:10.1007/s10915-010-9402-1