Fig. 1.
![NASA Helios [11] and Arbus Zephyr Solar High Altitude Platform System [5].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/6869a05be88a4c302353f78c/j_tar-2025-0008_fig_001.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKNR5EGZMV%2F20260318%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260318T185451Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjED8aDGV1LWNlbnRyYWwtMSJIMEYCIQDrslC1x7Qw2sY6U58lLAGUWRtMnLCN4Vg2VBK2nop1DAIhAJBW3BagEZ7u5ykwJkbPC36Smn9HUqHxiI1pMcZeVqybKrsFCAgQAhoMOTYzMTM0Mjg5OTQwIgz2f0oQIds%2FlOmhfCgqmAUyZV5sV1MV8kpPKdYZtMONzNgK4Z2MRMk8aVxMXpJXn7B%2BPlMs4HeuTVoZFPQ519vFbqfvqr0VEVcB4NkQoKP36btu02vjIK8JdwYFn2EcuPFOWhCOo5jPv0SYxLVr5ASxXmH18pbca%2FdknBbULJMEwe3kT%2Fvv2AUgHxyviUYrFwKkL5eVwT6792ZOVyIeQUkCQRmWVh%2FtgQR0VFoAvd5qRkbCKYbThRPLgzkX2vKRwHr4oQ6KT8uLOxEBGO39sPuUdkA3CsyKdW8ADIiNiAEoLHicP%2FNoo%2F3CAb50SW31ay6XF178S3nuMx222vN7E0vKqDeE0dmFEJvdeRVU31dSx08YjsB5SkgIQXUxUTdhvOlAwGOx7f%2BuhwRpFYb7xdOn39tT39tQbv4uNskNiR0FcF2lCVre9d27ZMtcvr8%2FPYVc%2Fea28LSZYUigR58%2BNi%2F2sx2LndLOsrWbEG0wkxBU273crz7LYGbLjlQ4Jj6lBLqyhKm5rtwkG7IPW1OF8EYTiwxnus%2BNnM%2FXUI3VFWphdWfP47g1ADf0RVLz7x64Fq4Qy%2BYxRQwSRucyb5V16Dc%2F3bLDaIxpdYWNrZcx4Ga3YZ%2FC3MpVRjfmA5YVktilfpQLnguZ7tnq1%2F9Q3V7l9B0zpWLBneKdqsGoYL3RLHSWsAO%2BbhAXRmmdxC5brrDtsawoUnpasu1q77j2x5jMqpcLDhfJSyP4J8VU1vdEFCJ9ArnuVjToBykLg5yXj4jeSuNxelYHjQv01mAVJz7qUtIoG6yPEc1K%2FNoPxTLIGLuJbaVhU5P%2FMCK4n1aRIhcWBYzzwtzBPWoEDDmaWMZBLpq07fMX4ipAMTuFwmuNw0S6xkhlvK0jQKFeS%2F9uE9T9IkouwNtQoKb3MOru6s0GOrAB60GJQVu22vOqGxlsVNLhLAtX33lDd0aq21WVZ4pnjqYhwFmpf1RRg6M3sbFAv6BsFmDQ37zpALX7CW5gOyXpnwU3N331KnCC3fhJe2nPW17yaDu9sIY66V2jVra8abNlY382W54YDq7TWPN8mQHlj8NjjZi479Py74DefTdZxIArreSR%2BWSJEuWmBnGC6jo5aq3wJVvJYrRa2xjf84LDB75v6QJ03HGU%2FEnSYmQWRq8%3D&X-Amz-Signature=183f1a98663c77955585dd9874621e5f21a2dd93a0b8d05ec8c2bce2b472ebcf&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Fig. 2.
![Diagram of two-way fluid-structure interaction implemented in XAVEL (from [28]).](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/6869a05be88a4c302353f78c/j_tar-2025-0008_fig_002.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKNR5EGZMV%2F20260318%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260318T185451Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjED8aDGV1LWNlbnRyYWwtMSJIMEYCIQDrslC1x7Qw2sY6U58lLAGUWRtMnLCN4Vg2VBK2nop1DAIhAJBW3BagEZ7u5ykwJkbPC36Smn9HUqHxiI1pMcZeVqybKrsFCAgQAhoMOTYzMTM0Mjg5OTQwIgz2f0oQIds%2FlOmhfCgqmAUyZV5sV1MV8kpPKdYZtMONzNgK4Z2MRMk8aVxMXpJXn7B%2BPlMs4HeuTVoZFPQ519vFbqfvqr0VEVcB4NkQoKP36btu02vjIK8JdwYFn2EcuPFOWhCOo5jPv0SYxLVr5ASxXmH18pbca%2FdknBbULJMEwe3kT%2Fvv2AUgHxyviUYrFwKkL5eVwT6792ZOVyIeQUkCQRmWVh%2FtgQR0VFoAvd5qRkbCKYbThRPLgzkX2vKRwHr4oQ6KT8uLOxEBGO39sPuUdkA3CsyKdW8ADIiNiAEoLHicP%2FNoo%2F3CAb50SW31ay6XF178S3nuMx222vN7E0vKqDeE0dmFEJvdeRVU31dSx08YjsB5SkgIQXUxUTdhvOlAwGOx7f%2BuhwRpFYb7xdOn39tT39tQbv4uNskNiR0FcF2lCVre9d27ZMtcvr8%2FPYVc%2Fea28LSZYUigR58%2BNi%2F2sx2LndLOsrWbEG0wkxBU273crz7LYGbLjlQ4Jj6lBLqyhKm5rtwkG7IPW1OF8EYTiwxnus%2BNnM%2FXUI3VFWphdWfP47g1ADf0RVLz7x64Fq4Qy%2BYxRQwSRucyb5V16Dc%2F3bLDaIxpdYWNrZcx4Ga3YZ%2FC3MpVRjfmA5YVktilfpQLnguZ7tnq1%2F9Q3V7l9B0zpWLBneKdqsGoYL3RLHSWsAO%2BbhAXRmmdxC5brrDtsawoUnpasu1q77j2x5jMqpcLDhfJSyP4J8VU1vdEFCJ9ArnuVjToBykLg5yXj4jeSuNxelYHjQv01mAVJz7qUtIoG6yPEc1K%2FNoPxTLIGLuJbaVhU5P%2FMCK4n1aRIhcWBYzzwtzBPWoEDDmaWMZBLpq07fMX4ipAMTuFwmuNw0S6xkhlvK0jQKFeS%2F9uE9T9IkouwNtQoKb3MOru6s0GOrAB60GJQVu22vOqGxlsVNLhLAtX33lDd0aq21WVZ4pnjqYhwFmpf1RRg6M3sbFAv6BsFmDQ37zpALX7CW5gOyXpnwU3N331KnCC3fhJe2nPW17yaDu9sIY66V2jVra8abNlY382W54YDq7TWPN8mQHlj8NjjZi479Py74DefTdZxIArreSR%2BWSJEuWmBnGC6jo5aq3wJVvJYrRa2xjf84LDB75v6QJ03HGU%2FEnSYmQWRq8%3D&X-Amz-Signature=fd12ab296b97f30d19daa3b856bb84c66a307ef7ae80a0adce8e59171cf88998&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Fig. 3.

Fig. 4.

Fig. 5.
![The shape of the MOD-42 airfoil with a flat-upper surface, adopted from [40].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/6869a05be88a4c302353f78c/j_tar-2025-0008_fig_005.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKNR5EGZMV%2F20260318%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260318T185451Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjED8aDGV1LWNlbnRyYWwtMSJIMEYCIQDrslC1x7Qw2sY6U58lLAGUWRtMnLCN4Vg2VBK2nop1DAIhAJBW3BagEZ7u5ykwJkbPC36Smn9HUqHxiI1pMcZeVqybKrsFCAgQAhoMOTYzMTM0Mjg5OTQwIgz2f0oQIds%2FlOmhfCgqmAUyZV5sV1MV8kpPKdYZtMONzNgK4Z2MRMk8aVxMXpJXn7B%2BPlMs4HeuTVoZFPQ519vFbqfvqr0VEVcB4NkQoKP36btu02vjIK8JdwYFn2EcuPFOWhCOo5jPv0SYxLVr5ASxXmH18pbca%2FdknBbULJMEwe3kT%2Fvv2AUgHxyviUYrFwKkL5eVwT6792ZOVyIeQUkCQRmWVh%2FtgQR0VFoAvd5qRkbCKYbThRPLgzkX2vKRwHr4oQ6KT8uLOxEBGO39sPuUdkA3CsyKdW8ADIiNiAEoLHicP%2FNoo%2F3CAb50SW31ay6XF178S3nuMx222vN7E0vKqDeE0dmFEJvdeRVU31dSx08YjsB5SkgIQXUxUTdhvOlAwGOx7f%2BuhwRpFYb7xdOn39tT39tQbv4uNskNiR0FcF2lCVre9d27ZMtcvr8%2FPYVc%2Fea28LSZYUigR58%2BNi%2F2sx2LndLOsrWbEG0wkxBU273crz7LYGbLjlQ4Jj6lBLqyhKm5rtwkG7IPW1OF8EYTiwxnus%2BNnM%2FXUI3VFWphdWfP47g1ADf0RVLz7x64Fq4Qy%2BYxRQwSRucyb5V16Dc%2F3bLDaIxpdYWNrZcx4Ga3YZ%2FC3MpVRjfmA5YVktilfpQLnguZ7tnq1%2F9Q3V7l9B0zpWLBneKdqsGoYL3RLHSWsAO%2BbhAXRmmdxC5brrDtsawoUnpasu1q77j2x5jMqpcLDhfJSyP4J8VU1vdEFCJ9ArnuVjToBykLg5yXj4jeSuNxelYHjQv01mAVJz7qUtIoG6yPEc1K%2FNoPxTLIGLuJbaVhU5P%2FMCK4n1aRIhcWBYzzwtzBPWoEDDmaWMZBLpq07fMX4ipAMTuFwmuNw0S6xkhlvK0jQKFeS%2F9uE9T9IkouwNtQoKb3MOru6s0GOrAB60GJQVu22vOqGxlsVNLhLAtX33lDd0aq21WVZ4pnjqYhwFmpf1RRg6M3sbFAv6BsFmDQ37zpALX7CW5gOyXpnwU3N331KnCC3fhJe2nPW17yaDu9sIY66V2jVra8abNlY382W54YDq7TWPN8mQHlj8NjjZi479Py74DefTdZxIArreSR%2BWSJEuWmBnGC6jo5aq3wJVvJYrRa2xjf84LDB75v6QJ03HGU%2FEnSYmQWRq8%3D&X-Amz-Signature=4ce3bfa6695616fad2e22a2813c9cf4be9c1d266df01b133cd829c8cf7e4a292&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Fig. 6.

Fig. 7.

Fig. 8.
![Average wind speeds in m/s vs. altitude in km (figure adapted from [41]).](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/6869a05be88a4c302353f78c/j_tar-2025-0008_fig_008.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKNR5EGZMV%2F20260318%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260318T185451Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjED8aDGV1LWNlbnRyYWwtMSJIMEYCIQDrslC1x7Qw2sY6U58lLAGUWRtMnLCN4Vg2VBK2nop1DAIhAJBW3BagEZ7u5ykwJkbPC36Smn9HUqHxiI1pMcZeVqybKrsFCAgQAhoMOTYzMTM0Mjg5OTQwIgz2f0oQIds%2FlOmhfCgqmAUyZV5sV1MV8kpPKdYZtMONzNgK4Z2MRMk8aVxMXpJXn7B%2BPlMs4HeuTVoZFPQ519vFbqfvqr0VEVcB4NkQoKP36btu02vjIK8JdwYFn2EcuPFOWhCOo5jPv0SYxLVr5ASxXmH18pbca%2FdknBbULJMEwe3kT%2Fvv2AUgHxyviUYrFwKkL5eVwT6792ZOVyIeQUkCQRmWVh%2FtgQR0VFoAvd5qRkbCKYbThRPLgzkX2vKRwHr4oQ6KT8uLOxEBGO39sPuUdkA3CsyKdW8ADIiNiAEoLHicP%2FNoo%2F3CAb50SW31ay6XF178S3nuMx222vN7E0vKqDeE0dmFEJvdeRVU31dSx08YjsB5SkgIQXUxUTdhvOlAwGOx7f%2BuhwRpFYb7xdOn39tT39tQbv4uNskNiR0FcF2lCVre9d27ZMtcvr8%2FPYVc%2Fea28LSZYUigR58%2BNi%2F2sx2LndLOsrWbEG0wkxBU273crz7LYGbLjlQ4Jj6lBLqyhKm5rtwkG7IPW1OF8EYTiwxnus%2BNnM%2FXUI3VFWphdWfP47g1ADf0RVLz7x64Fq4Qy%2BYxRQwSRucyb5V16Dc%2F3bLDaIxpdYWNrZcx4Ga3YZ%2FC3MpVRjfmA5YVktilfpQLnguZ7tnq1%2F9Q3V7l9B0zpWLBneKdqsGoYL3RLHSWsAO%2BbhAXRmmdxC5brrDtsawoUnpasu1q77j2x5jMqpcLDhfJSyP4J8VU1vdEFCJ9ArnuVjToBykLg5yXj4jeSuNxelYHjQv01mAVJz7qUtIoG6yPEc1K%2FNoPxTLIGLuJbaVhU5P%2FMCK4n1aRIhcWBYzzwtzBPWoEDDmaWMZBLpq07fMX4ipAMTuFwmuNw0S6xkhlvK0jQKFeS%2F9uE9T9IkouwNtQoKb3MOru6s0GOrAB60GJQVu22vOqGxlsVNLhLAtX33lDd0aq21WVZ4pnjqYhwFmpf1RRg6M3sbFAv6BsFmDQ37zpALX7CW5gOyXpnwU3N331KnCC3fhJe2nPW17yaDu9sIY66V2jVra8abNlY382W54YDq7TWPN8mQHlj8NjjZi479Py74DefTdZxIArreSR%2BWSJEuWmBnGC6jo5aq3wJVvJYrRa2xjf84LDB75v6QJ03HGU%2FEnSYmQWRq8%3D&X-Amz-Signature=8ec8ae59823d07509280c027f8b153b8c97217ef4be05d22fcec6910d753fa83&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Fig. 9.
![Lift coefficient vs angle of attack: comparison XAVEL and wind tunnel test (WTT) (from [27]).](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/6869a05be88a4c302353f78c/j_tar-2025-0008_fig_009.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKNR5EGZMV%2F20260318%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260318T185451Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjED8aDGV1LWNlbnRyYWwtMSJIMEYCIQDrslC1x7Qw2sY6U58lLAGUWRtMnLCN4Vg2VBK2nop1DAIhAJBW3BagEZ7u5ykwJkbPC36Smn9HUqHxiI1pMcZeVqybKrsFCAgQAhoMOTYzMTM0Mjg5OTQwIgz2f0oQIds%2FlOmhfCgqmAUyZV5sV1MV8kpPKdYZtMONzNgK4Z2MRMk8aVxMXpJXn7B%2BPlMs4HeuTVoZFPQ519vFbqfvqr0VEVcB4NkQoKP36btu02vjIK8JdwYFn2EcuPFOWhCOo5jPv0SYxLVr5ASxXmH18pbca%2FdknBbULJMEwe3kT%2Fvv2AUgHxyviUYrFwKkL5eVwT6792ZOVyIeQUkCQRmWVh%2FtgQR0VFoAvd5qRkbCKYbThRPLgzkX2vKRwHr4oQ6KT8uLOxEBGO39sPuUdkA3CsyKdW8ADIiNiAEoLHicP%2FNoo%2F3CAb50SW31ay6XF178S3nuMx222vN7E0vKqDeE0dmFEJvdeRVU31dSx08YjsB5SkgIQXUxUTdhvOlAwGOx7f%2BuhwRpFYb7xdOn39tT39tQbv4uNskNiR0FcF2lCVre9d27ZMtcvr8%2FPYVc%2Fea28LSZYUigR58%2BNi%2F2sx2LndLOsrWbEG0wkxBU273crz7LYGbLjlQ4Jj6lBLqyhKm5rtwkG7IPW1OF8EYTiwxnus%2BNnM%2FXUI3VFWphdWfP47g1ADf0RVLz7x64Fq4Qy%2BYxRQwSRucyb5V16Dc%2F3bLDaIxpdYWNrZcx4Ga3YZ%2FC3MpVRjfmA5YVktilfpQLnguZ7tnq1%2F9Q3V7l9B0zpWLBneKdqsGoYL3RLHSWsAO%2BbhAXRmmdxC5brrDtsawoUnpasu1q77j2x5jMqpcLDhfJSyP4J8VU1vdEFCJ9ArnuVjToBykLg5yXj4jeSuNxelYHjQv01mAVJz7qUtIoG6yPEc1K%2FNoPxTLIGLuJbaVhU5P%2FMCK4n1aRIhcWBYzzwtzBPWoEDDmaWMZBLpq07fMX4ipAMTuFwmuNw0S6xkhlvK0jQKFeS%2F9uE9T9IkouwNtQoKb3MOru6s0GOrAB60GJQVu22vOqGxlsVNLhLAtX33lDd0aq21WVZ4pnjqYhwFmpf1RRg6M3sbFAv6BsFmDQ37zpALX7CW5gOyXpnwU3N331KnCC3fhJe2nPW17yaDu9sIY66V2jVra8abNlY382W54YDq7TWPN8mQHlj8NjjZi479Py74DefTdZxIArreSR%2BWSJEuWmBnGC6jo5aq3wJVvJYrRa2xjf84LDB75v6QJ03HGU%2FEnSYmQWRq8%3D&X-Amz-Signature=6c44169cb8b17cc0f8116fd640147edfdc899a4c935486855c9a970b211be2e4&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Fig. 10.

Fig. 11.

Gross specifications of current F1A FAI flyers [38,39]_
| Code Class | General Type | Brief Description |
|---|---|---|
| F1A | Gliders (A2 ‘Nordic’) |
|
Wing geometry parameters_
| Parameter | Value |
|---|---|
| Span [m] | 3 |
| Reference area [m2] | 0.51 |
| Aspect ratio | 17.65 |
| Mean aerodynamic chord [m] | 0.17 |
Flight conditions under analysis and required lift coefficient_
| Altitude [km] | Air Density [kg/m3] | Speed [m/s] | Design total lift [N] | Angle of attack [deg] | Coefficient of Lift |
|---|---|---|---|---|---|
| 20 | 0.089 | 18 | 4,9 | 4 | 0.67 |